{"id":56,"date":"2019-09-08T01:00:43","date_gmt":"2019-09-07T19:30:43","guid":{"rendered":"https:\/\/www.cbselabs.com\/?page_id=56"},"modified":"2021-09-18T15:30:44","modified_gmt":"2021-09-18T10:00:44","slug":"ncert-solutions-class-10th-maths-chapter-13-surface-areas-volumes","status":"publish","type":"page","link":"https:\/\/www.cbselabs.com\/ncert-solutions-class-10th-maths-chapter-13-surface-areas-volumes\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1"},"content":{"rendered":"<p>Get Free <strong>NCERT Solutions for Class 10 Maths Chapter 13<\/strong> Ex 13.1 PDF. Surface Areas and Volumes Class 10 Maths NCERT Solutions are extremely helpful while doing your homework. Exercise 13.1 Class 10 Maths NCERT Solutions were prepared\u00a0by Experienced LearnCBSE.in Teachers.\u00a0Detailed answers of all the questions in Chapter 13 Maths <strong>Class\u00a010 Surface Areas and Volumes<\/strong> Exercise 13.1 provided in NCERT TextBook.<\/p>\n<p><strong>Topics and Sub Topics in Class 10 Maths Chapter 13 Surface Areas and Volumes:<\/strong><\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td><strong>Section Name<\/strong><\/td>\n<td><strong>Topic Name<\/strong><\/td>\n<\/tr>\n<tr>\n<td>13<\/td>\n<td>Surface Areas And Volumes<\/td>\n<\/tr>\n<tr>\n<td>13.1<\/td>\n<td>Introduction<\/td>\n<\/tr>\n<tr>\n<td>13.2<\/td>\n<td>Surface Area Of A Combination Of Solids<\/td>\n<\/tr>\n<tr>\n<td>13.3<\/td>\n<td>Volume Of A Combination Of Solids<\/td>\n<\/tr>\n<tr>\n<td>13.4<\/td>\n<td>Conversion Of Solid From One Shape To Another<\/td>\n<\/tr>\n<tr>\n<td>13.5<\/td>\n<td>Frustum Of A Cone<\/td>\n<\/tr>\n<tr>\n<td>13.6<\/td>\n<td>Summary<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ul>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-class-10th-maths-chapter-13-surface-areas-volumes\/\" target=\"_blank\" rel=\"noopener noreferrer\">Surface Areas and Volumes Class 10 Ex 13.1<\/a><\/li>\n<li><a href=\"#Surface-Areas-and-Volumes-ex-13.1-in-hindi\" rel=\"noopener noreferrer\">\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 13.1 \u0915\u093e \u0939\u0932 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-chapter-13-ex-13-2\/\" target=\"_blank\" rel=\"noopener noreferrer\">Surface Areas and Volumes Class 10 Ex 13.2<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-chapter-13-ex-13-2\/#Surface-Areas-and-Volumes-ex-13.2-in-hindi\" target=\"_blank\" rel=\"noopener noreferrer\">\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 13.2 \u0915\u093e \u0939\u0932 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-chapter-13-ex-13-3\/\" target=\"_blank\" rel=\"noopener noreferrer\">Surface Areas and Volumes Class 10 Ex 13.3<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-chapter-13-ex-13-3\/#Surface-Areas-and-Volumes-ex-13.3-in-hindi\" target=\"_blank\" rel=\"noopener noreferrer\">\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 13.3 \u0915\u093e \u0939\u0932 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-chapter-13-ex-13-4\/\" target=\"_blank\" rel=\"noopener noreferrer\">Surface Areas and Volumes Class 10 Ex 13.4<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-chapter-13-ex-13-4\/#Surface-Areas-and-Volumes-ex-13.4-in-hindi\" target=\"_blank\" rel=\"noopener noreferrer\">\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 13.4 \u0915\u093e \u0939\u0932 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-chapter-13-ex-13-5\/\" target=\"_blank\" rel=\"noopener noreferrer\">Surface Areas and Volumes Class 10 Ex 13.5<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-chapter-13-ex-13-5\/#Surface-Areas-and-Volumes-ex-13.5-in-hindi\" target=\"_blank\" rel=\"noopener noreferrer\">\u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 13.5 \u0915\u093e \u0939\u0932 \u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/surface-areas-and-volumes-cbse-class-10-extra-questions-with-solutions\/\" target=\"_blank\" rel=\"noopener noreferrer\">Surface Areas and Volumes Class 10 Extra Questions<\/a><\/li>\n<\/ul>\n<h2>NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1<\/h2>\n<p>NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1 are part of <a href=\"https:\/\/www.cbselabs.com\/ncert-class-10-math-solutions\/\">NCERT Solutions for Class 10 Maths<\/a>. Here we have given NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1.<\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td><strong>Board<\/strong><\/td>\n<td>CBSE<\/td>\n<\/tr>\n<tr>\n<td><strong>Textbook<\/strong><\/td>\n<td>NCERT<\/td>\n<\/tr>\n<tr>\n<td><strong>Class<\/strong><\/td>\n<td>Class 10<\/td>\n<\/tr>\n<tr>\n<td><strong>Subject<\/strong><\/td>\n<td>Maths<\/td>\n<\/tr>\n<tr>\n<td><strong>Chapter<\/strong><\/td>\n<td>Chapter 13<\/td>\n<\/tr>\n<tr>\n<td><strong>Chapter Name<\/strong><\/td>\n<td>Surface Areas and Volumes<\/td>\n<\/tr>\n<tr>\n<td><strong>Exercise<\/strong><\/td>\n<td>Ex 13.1<\/td>\n<\/tr>\n<tr>\n<td><strong>Number of Questions Solved<\/strong><\/td>\n<td>9<\/td>\n<\/tr>\n<tr>\n<td><strong>Category<\/strong><\/td>\n<td><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-2\/\">NCERT Solutions<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Ex 13.1 Class 10 Maths Question 1.<br \/>\n2 cubes each of volume 64 cm<sup>3<\/sup> are joined end to end. Find the surface area of the resulting cuboid.<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-55254\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Pdf-Q1.jpg?resize=590%2C498&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Pdf Q1\" width=\"590\" height=\"498\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Pdf-Q1.jpg?w=590&amp;ssl=1 590w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Pdf-Q1.jpg?resize=300%2C253&amp;ssl=1 300w\" sizes=\"(max-width: 590px) 100vw, 590px\" data-recalc-dims=\"1\" \/><\/p>\n<div class=\"jetpack-video-wrapper\">\n<div class=\"suki-oembed suki-oembed-video\" style=\"padding-top: 75%;\"><iframe loading=\"lazy\" title=\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1\" width=\"1140\" height=\"855\" src=\"https:\/\/www.youtube.com\/embed\/x-Bt76ovfJY?list=PLIyqDEkxKLd3fyR3B9YRXO4XVw9Z7verc\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/div>\n<\/div>\n<p>Ex 13.1 Class 10 Maths\u00a0Question 2.<br \/>\nA vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-55253\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Pdf-Q2.jpg?resize=440%2C275&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Pdf Q2\" width=\"440\" height=\"275\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Pdf-Q2.jpg?w=440&amp;ssl=1 440w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Pdf-Q2.jpg?resize=300%2C188&amp;ssl=1 300w\" sizes=\"(max-width: 440px) 100vw, 440px\" data-recalc-dims=\"1\" \/><\/p>\n<p>You can also download the free <strong>PDF of\u00a0\u00a0Ex 13.1 Class 10 Surface Areas and Volumes NCERT Solutions<\/strong> or save the solution images and take the print out to keep it handy for your exam preparation.<\/p>\n<p><a href=\"https:\/\/drive.google.com\/uc?export=download&amp;id=19lEbV6xzEVExnAJJ40xUPZVwY2ua4UvV\">Download NCERT Solutions For Class 10 Maths Chapter 13 Surface Areas and Volumes PDF<\/a><\/p>\n<p>Ex 13.1 Class 10 Maths\u00a0Question 3.<br \/>\nA toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of the same radius. The total height of the toy is 15.5 cm. Find the total surface area of the toy.<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-55252\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Ex-13.1-Class-10-Maths-NCERT-Solutions-Q3.jpg?resize=692%2C490&#038;ssl=1\" alt=\"Ex 13.1 Class 10 Maths NCERT Solutions Q3\" width=\"692\" height=\"490\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Ex-13.1-Class-10-Maths-NCERT-Solutions-Q3.jpg?w=692&amp;ssl=1 692w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Ex-13.1-Class-10-Maths-NCERT-Solutions-Q3.jpg?resize=300%2C212&amp;ssl=1 300w\" sizes=\"(max-width: 692px) 100vw, 692px\" data-recalc-dims=\"1\" \/><\/p>\n<p>Ex 13.1 Class 10 Maths\u00a0Question 4.<br \/>\nA cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid.<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-55251\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Exercise-13.1-Class-10-Maths-NCERT-Solutions-PDF-Q4.jpg?resize=414%2C552&#038;ssl=1\" alt=\"Exercise 13.1 Class 10 Maths NCERT Solutions PDF Q4\" width=\"414\" height=\"552\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Exercise-13.1-Class-10-Maths-NCERT-Solutions-PDF-Q4.jpg?w=414&amp;ssl=1 414w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Exercise-13.1-Class-10-Maths-NCERT-Solutions-PDF-Q4.jpg?resize=225%2C300&amp;ssl=1 225w\" sizes=\"(max-width: 414px) 100vw, 414px\" data-recalc-dims=\"1\" \/><\/p>\n<p>Ex 13.1 Class 10 Maths\u00a0Question 5.<strong><br \/>\n<\/strong>A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter d of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-55250\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Ch-13-Maths-Class-10-Maths-NCERT-Solutions-PDF-Q5.jpg?resize=702%2C318&#038;ssl=1\" alt=\"Ch 13 Maths Class 10 Maths NCERT Solutions PDF Q5\" width=\"702\" height=\"318\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Ch-13-Maths-Class-10-Maths-NCERT-Solutions-PDF-Q5.jpg?w=702&amp;ssl=1 702w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Ch-13-Maths-Class-10-Maths-NCERT-Solutions-PDF-Q5.jpg?resize=300%2C136&amp;ssl=1 300w\" sizes=\"(max-width: 702px) 100vw, 702px\" data-recalc-dims=\"1\" \/><\/p>\n<p>Ex 13.1 Class 10 Maths\u00a0Question 6.<strong><br \/>\n<\/strong>A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-55249\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Chapter-13-Maths-Class-10-NCERT-Solutions-PDF-Q6.jpg?resize=398%2C373&#038;ssl=1\" alt=\"Chapter 13 Maths Class 10 NCERT Solutions PDF Q6\" width=\"398\" height=\"373\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Chapter-13-Maths-Class-10-NCERT-Solutions-PDF-Q6.jpg?w=398&amp;ssl=1 398w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Chapter-13-Maths-Class-10-NCERT-Solutions-PDF-Q6.jpg?resize=300%2C281&amp;ssl=1 300w\" sizes=\"(max-width: 398px) 100vw, 398px\" data-recalc-dims=\"1\" \/><\/p>\n<p>Ex 13.1 Class 10 Maths\u00a0Question 7.<br \/>\nA tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of the top is 2.8 m, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of Rs 500 per m<sup>2<\/sup>. (Note that the base of the tent will not be covered with canvas.)<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-55248\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Ex-13.1-Class-10-Maths-NCERT-Solutions-PDF-Q7.jpg?resize=693%2C357&#038;ssl=1\" alt=\"Ex 13.1 Class 10 Maths NCERT Solutions PDF Q7\" width=\"693\" height=\"357\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Ex-13.1-Class-10-Maths-NCERT-Solutions-PDF-Q7.jpg?w=693&amp;ssl=1 693w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Ex-13.1-Class-10-Maths-NCERT-Solutions-PDF-Q7.jpg?resize=300%2C155&amp;ssl=1 300w\" sizes=\"(max-width: 693px) 100vw, 693px\" data-recalc-dims=\"1\" \/><\/p>\n<p>Ex 13.1 Class 10 Maths\u00a0Question 8.<br \/>\nFrom a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm<sup>2<\/sup>.<br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-55247\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Ex-13.1-Class-10-Maths-NCERT-Solutions-PDF-Q8.jpg?resize=421%2C447&#038;ssl=1\" alt=\"Ex 13.1 Class 10 Maths NCERT Solutions PDF Q8\" width=\"421\" height=\"447\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Ex-13.1-Class-10-Maths-NCERT-Solutions-PDF-Q8.jpg?w=421&amp;ssl=1 421w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Ex-13.1-Class-10-Maths-NCERT-Solutions-PDF-Q8.jpg?resize=283%2C300&amp;ssl=1 283w\" sizes=\"(max-width: 421px) 100vw, 421px\" data-recalc-dims=\"1\" \/><\/p>\n<p>Ex 13.1 Class 10 Maths\u00a0Question 9.<br \/>\nA wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in figure. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the total surface area of the article.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-100552\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Q9.png?resize=187%2C155&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1 Q9\" width=\"187\" height=\"155\" data-recalc-dims=\"1\" \/><br \/>\nSolution:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-55246\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Exercise-13.1-Class-10-Maths-NCERT-Solutions-PDF-Q9.jpg?resize=687%2C523&#038;ssl=1\" alt=\"Exercise 13.1 Class 10 Maths NCERT Solutions PDF Q9\" width=\"687\" height=\"523\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Exercise-13.1-Class-10-Maths-NCERT-Solutions-PDF-Q9.jpg?w=687&amp;ssl=1 687w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2018\/11\/Exercise-13.1-Class-10-Maths-NCERT-Solutions-PDF-Q9.jpg?resize=300%2C228&amp;ssl=1 300w\" sizes=\"(max-width: 687px) 100vw, 687px\" data-recalc-dims=\"1\" \/><\/p>\n<h3>Class 10 Maths Surface Areas and Volumes Mind Maps<\/h3>\n<h4>Surface Areas and Volumes of Solids<\/h4>\n<h5>(i) Cuboid:<\/h5>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-100553\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-1.png?resize=825%2C302&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1 Mind Map 1\" width=\"825\" height=\"302\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-1.png?w=825&amp;ssl=1 825w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-1.png?resize=300%2C110&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-1.png?resize=768%2C281&amp;ssl=1 768w\" sizes=\"(max-width: 825px) 100vw, 825px\" data-recalc-dims=\"1\" \/><br \/>\nVolume = l \u00d7 b \u00d7 h<br \/>\nTotal surface area = 2 [lb + bh + hl]<br \/>\nLateral surface area = 2 [bh + hl]<br \/>\nDiagonal of the coboid = \\(\\sqrt{\\ell^{2}+b^{2}+h^{2}}\\)<\/p>\n<h5>(ii) Cube:<\/h5>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-100554\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-2.png?resize=83%2C80&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1 Mind Map 2\" width=\"83\" height=\"80\" data-recalc-dims=\"1\" \/><br \/>\nVolume = a<sup>3<\/sup><br \/>\nTotal surface area = 6a<sup>2<\/sup><br \/>\nLateral surface area = 4a<sup>2<\/sup><br \/>\nDiagonal of a cube = \u221a3a<\/p>\n<h5>(iii) Cylinder:<\/h5>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-100555\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-3.png?resize=72%2C96&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1 Mind Map 3\" width=\"72\" height=\"96\" data-recalc-dims=\"1\" \/><\/p>\n<h6>(a) Right circular cylinder:<\/h6>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-100556\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-4.png?resize=77%2C83&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1 Mind Map 4\" width=\"77\" height=\"83\" data-recalc-dims=\"1\" \/><br \/>\nVolume = \u03c0r<sup>2<\/sup>h<br \/>\nCurved Surface Area = 2nrh<br \/>\nTotal Surface Area= 2\u03c0rh + 2\u03c0r<sup>2<\/sup> = 2\u03c0r(r + h)<\/p>\n<h6>(b) Right circular hollow cylinder:<\/h6>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-100557\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-5.png?resize=255%2C284&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1 Mind Map 5\" width=\"255\" height=\"284\" data-recalc-dims=\"1\" \/><br \/>\nLet r and R be internal &amp; external radii.<br \/>\nVolume = n(R<sup>2<\/sup> &#8211; r<sup>2<\/sup>)h<br \/>\nCurved Surface Area = 2\u03c0(R + r)h<br \/>\nTotal Surface Area = 2\u03c0(R + r)h + 2\u03c0(R<sup>2<\/sup> &#8211; r<sup>2<\/sup>)<br \/>\n= 2\u03c0(R + r)(h + R \u2014 r)<\/p>\n<h5>(iv) Right circular cone:<\/h5>\n<p>Slant height, l = \\(\\sqrt{r^{2}+h^{2}}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-100558\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-6.png?resize=75%2C104&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1 Mind Map 6\" width=\"75\" height=\"104\" data-recalc-dims=\"1\" \/><br \/>\nVolume = \\(\\frac{1}{3} \\pi r^{2} h\\)<br \/>\nCurved Surface Area = \u03c0rl<br \/>\nTotal Surface Area = \u03c0rl + \u03c0r<sup>2<\/sup><\/p>\n<h4>Surface Areas and Volumes of Sphere and Hemisphere<\/h4>\n<h5>(i) Sphere:<\/h5>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-100559\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-7.png?resize=93%2C99&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1 Mind Map 7\" width=\"93\" height=\"99\" data-recalc-dims=\"1\" \/><br \/>\nVolume = \\(\\frac{4}{3} \\neq r^{3}\\)<br \/>\nSurface area =4\u03c0r<sup>2<\/sup><\/p>\n<h5>(ii) Hemisphere:<\/h5>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-100560\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-8.png?resize=103%2C72&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1 Mind Map 8\" width=\"103\" height=\"72\" data-recalc-dims=\"1\" \/><br \/>\nVolume = \\(\\frac{2}{3} \\neq r^{3}\\)<br \/>\nC.S.A = 2\u03c0r<sup>2<\/sup><br \/>\nT.S.A = 3\u03c0r<sup>2<\/sup><\/p>\n<h5>(iii) Hemispherical shell:<\/h5>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-100561\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-9.png?resize=98%2C62&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1 Mind Map 9\" width=\"98\" height=\"62\" data-recalc-dims=\"1\" \/><br \/>\nVolume = \\(\\frac{2}{3} \\pi\\left(R^{3}-r^{3}\\right)\\)<br \/>\nCurved Surface Area = 2\u03c0(R<sup>2<\/sup> + r<sup>2<\/sup>)<br \/>\nTotal Surface Area = 2\u03c0(r<sup>2<\/sup> + R<sup>2<\/sup>) + n (R<sup>2<\/sup> &#8211; r<sup>2<\/sup>)<br \/>\n= \u03c0 (r<sup>2<\/sup> + 3R<sup>2<\/sup>)<\/p>\n<h4>Surface Areas of a Combination of Solids<\/h4>\n<p>The surface area of a solid which is a combination of two or more solids is calculated by adding the surface areas of the individual solids which are visible in the new solid formed.<br \/>\nFor Example:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-100562\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-10.png?resize=482%2C51&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1 Mind Map 10\" width=\"482\" height=\"51\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-10.png?w=482&amp;ssl=1 482w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-10.png?resize=300%2C32&amp;ssl=1 300w\" sizes=\"(max-width: 482px) 100vw, 482px\" data-recalc-dims=\"1\" \/><br \/>\nIf we consider the surface of the newly formed object as given in the figure above, we would be able to see only the curved surfaces of the two hemispheres and the curved surface of the cylinder.<br \/>\nSo, the total surface area of the new solid is the sum of the curved surface areas of each of the individual parts. This gives, TSA of new solid = CSA of one hemisphere + CSA of cylinder + CSA of other hemisphere<\/p>\n<h4>Volume of a Combination of Solids<\/h4>\n<p>Whenever solid is formed by combining two or more solids, then the amount of matter present in the new solid is equal to the sum of amounts of matter in the constituting solids. Volume of new solid = sum of the volumes of the individual solids<\/p>\n<h4>Conversion of Solid form One Shape to Another<\/h4>\n<p>(i) When a solid is converted from one shape to other, then its volume remains same only its shape and size changes.<br \/>\n(ii) If a solid is converted into a number of small identical solids, then Number of small items<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-100563\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-11.png?resize=205%2C57&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1 Mind Map 11\" width=\"205\" height=\"57\" data-recalc-dims=\"1\" \/><\/p>\n<h4>Frustum of a Cone [Very Important for Board Exam]<\/h4>\n<p>When we slice (or cut) through a cone with a plane parallel to its base (see below figure ) and remove the cone that is formed on one side of that plane, the part that is now left over on the other side of the plane is called a frustum of the cone.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-100564\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-12.png?resize=370%2C190&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1 Mind Map 12\" width=\"370\" height=\"190\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-12.png?w=370&amp;ssl=1 370w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-12.png?resize=300%2C154&amp;ssl=1 300w\" sizes=\"(max-width: 370px) 100vw, 370px\" data-recalc-dims=\"1\" \/><br \/>\n(i) Volume of the frustum of cone \\(\\frac{1}{3} \\pi h\\left(\\mathrm{r}_{1}^{2}+r_{2}^{2}+r_{1} r_{2}\\right)\\)<br \/>\n(ii) C.S.A. of the frustum of cone = \u03c0(r<sub>1<\/sub> + r<sub>2<\/sub>)l,<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-100565\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Ex-13.1-Mind-Map-13.png?resize=118%2C126&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1 Mind Map 13\" width=\"118\" height=\"126\" data-recalc-dims=\"1\" \/><br \/>\nwhere l = \\(\\sqrt{h^{2}+\\left(r_{1}-r_{2}\\right)^{2}}\\)<br \/>\n(iii) T.S.A. of the frustum of cone<br \/>\nl = \\(\\sqrt{h^{2}+\\left(r_{1}-r_{2}\\right)^{2}}\\)<\/p>\n<h3><a id=\"Surface-Areas-and-Volumes-ex-13.1-in-hindi\"><\/a>NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes (Hindi Medium) Ex 13.1<\/h3>\n<p><img loading=\"lazy\" class=\"size-large wp-image-89194 alignnone\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-1.png?resize=791%2C1024&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.1 Surface Areas and Volumes\" width=\"791\" height=\"1024\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-1.png?resize=791%2C1024&amp;ssl=1 791w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-1.png?resize=232%2C300&amp;ssl=1 232w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-1.png?resize=768%2C994&amp;ssl=1 768w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-1.png?w=1700&amp;ssl=1 1700w\" sizes=\"(max-width: 791px) 100vw, 791px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-89195 alignnone\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-2.png?resize=543%2C420&#038;ssl=1\" alt=\"10 maths ex. 13.1\" width=\"543\" height=\"420\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-2.png?w=543&amp;ssl=1 543w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-2.png?resize=300%2C232&amp;ssl=1 300w\" sizes=\"(max-width: 543px) 100vw, 543px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-89196 alignnone\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-3.png?resize=533%2C712&#038;ssl=1\" alt=\"10 maths exercise 13.1\" width=\"533\" height=\"712\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-3.png?w=533&amp;ssl=1 533w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-3.png?resize=225%2C300&amp;ssl=1 225w\" sizes=\"(max-width: 533px) 100vw, 533px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-89197 alignnone\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-4.png?resize=516%2C703&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.1 Surface Areas and Volumes in pdf\" width=\"516\" height=\"703\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-4.png?w=516&amp;ssl=1 516w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-4.png?resize=220%2C300&amp;ssl=1 220w\" sizes=\"(max-width: 516px) 100vw, 516px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-89198 alignnone\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-5.png?resize=539%2C689&#038;ssl=1\" alt=\"class 10 maths ex. 13.1\" width=\"539\" height=\"689\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-5.png?w=539&amp;ssl=1 539w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-5.png?resize=235%2C300&amp;ssl=1 235w\" sizes=\"(max-width: 539px) 100vw, 539px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-89199 alignnone\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-6.png?resize=542%2C699&#038;ssl=1\" alt=\"13.1 Surface Areas and Volumes in pdf\" width=\"542\" height=\"699\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-6.png?w=542&amp;ssl=1 542w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-6.png?resize=233%2C300&amp;ssl=1 233w\" sizes=\"(max-width: 542px) 100vw, 542px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-89200 alignnone\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-7.png?resize=547%2C635&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.1 in PDF form.\" width=\"547\" height=\"635\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-7.png?w=547&amp;ssl=1 547w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-7.png?resize=258%2C300&amp;ssl=1 258w\" sizes=\"(max-width: 547px) 100vw, 547px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-89201 alignnone\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-8.png?resize=518%2C700&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.1 surface areas and volumes in English medium free for 2018-19.\" width=\"518\" height=\"700\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-8.png?w=518&amp;ssl=1 518w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-8.png?resize=222%2C300&amp;ssl=1 222w\" sizes=\"(max-width: 518px) 100vw, 518px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-89202 alignnone\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-9.png?resize=532%2C656&#038;ssl=1\" alt=\"NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.1 for CBSE and UP Board 2018-19.\" width=\"532\" height=\"656\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-9.png?w=532&amp;ssl=1 532w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-9.png?resize=243%2C300&amp;ssl=1 243w\" sizes=\"(max-width: 532px) 100vw, 532px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-89203 alignnone\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-10.png?resize=519%2C679&#038;ssl=1\" alt=\"Class 10 Maths Exercise 13.1 SolutionsClass 10 Maths Exercise 13.1 Solutions\" width=\"519\" height=\"679\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-10.png?w=519&amp;ssl=1 519w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-10.png?resize=229%2C300&amp;ssl=1 229w\" sizes=\"(max-width: 519px) 100vw, 519px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-89204 alignnone\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-11.png?resize=530%2C676&#038;ssl=1\" alt=\"Class 10 Maths Exercise 13.1 sols in Hindi medium.\" width=\"530\" height=\"676\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-11.png?w=530&amp;ssl=1 530w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-11.png?resize=235%2C300&amp;ssl=1 235w\" sizes=\"(max-width: 530px) 100vw, 530px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-89205 alignnone\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-12.png?resize=542%2C620&#038;ssl=1\" alt=\"Class 10 Maths Exercise 13.1 solutions for CBSE and UP Board 2018-19 updated.\" width=\"542\" height=\"620\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-12.png?w=542&amp;ssl=1 542w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-12.png?resize=262%2C300&amp;ssl=1 262w\" sizes=\"(max-width: 542px) 100vw, 542px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-89206 alignnone\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-13.png?resize=525%2C699&#038;ssl=1\" alt=\"Class 10 Maths Chapter 13 Exercise 13.1 in PDF form.\" width=\"525\" height=\"699\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-13.png?w=525&amp;ssl=1 525w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-13.png?resize=225%2C300&amp;ssl=1 225w\" sizes=\"(max-width: 525px) 100vw, 525px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-89207 alignnone\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-14.png?resize=515%2C640&#038;ssl=1\" alt=\"Class 10 Maths Chapter 13 Exercise 13.1 for CBSE and UP Board 2018-19.\" width=\"515\" height=\"640\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-14.png?w=515&amp;ssl=1 515w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/08\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes-Hindi-Medium-Ex-13.1-14.png?resize=241%2C300&amp;ssl=1 241w\" sizes=\"(max-width: 515px) 100vw, 515px\" data-recalc-dims=\"1\" \/><\/p>\n<div class=\"featured-snippet\">\n<h3>NCERT Solutions for Class 10 Maths<\/h3>\n<ol>\n<li><a href=\"https:\/\/www.cbselabs.com\/class-10-maths-ncert-solutions-chapter-1-real-numbers\/\">Chapter 1 Real Numbers<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/class-10-maths-ncert-solutions-chapter-2-polynomials\/\">Chapter 2 Polynomials<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-class-10th-maths-chapter-3-pair-linear-equations-two-variables\/\">Chapter 3 Pair of Linear Equations in Two Variables<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-chapter-4-quadratic-equations\/\">Chapter 4 Quadratic Equations<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-chapter-5-arithmetic-progressions\/\">Chapter 5 Arithmetic Progressions<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-chapter-6-triangles-2\/\">Chapter 6 Triangles<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-chapter-7-coordinate-geometry\/\">Chapter 7 Coordinate Geometry<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-chapter-8-introduction-to-trigonometry\/\">Chapter 8 Introduction to Trigonometry<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-some-applications-of-trigonometry\/\">Chapter 9 Some Applications of Trigonometry<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-chapter-10-circles\/\">Chapter 10 Circles<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-class-10th-maths-chapter-11-constructions\/\">Chapter 11 Constructions<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-chapter-12-areas-related-to-circles\/\">Chapter 12 Areas Related to Circles<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-class-10th-maths-chapter-13-surface-areas-volumes\/\">Chapter 13 Surface Areas and Volumes<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-chapter-14-statistics\/\">Chapter 14 Statistics<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-10-maths-chapter-15-probability\/\">Chapter 15 Probability<\/a><\/li>\n<\/ol>\n<\/div>\n<p>We hope the NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1, help you. If you have any query regarding NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Exercise 13.1, drop a comment below and we will get back to you at the earliest.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Get Free NCERT Solutions for Class 10 Maths Chapter 13 Ex 13.1 PDF. Surface Areas and Volumes Class 10 Maths NCERT Solutions are extremely helpful while doing your homework. Exercise 13.1 Class 10 Maths NCERT Solutions were prepared\u00a0by Experienced LearnCBSE.in Teachers.\u00a0Detailed answers of all the questions in Chapter 13 Maths Class\u00a010 Surface Areas and Volumes &hellip;<\/p>\n","protected":false},"author":1,"featured_media":62710,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"spay_email":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.2 (Yoast SEO v17.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1<\/title>\n<meta name=\"description\" content=\"Get Free NCERT Solutions for Class 10 Maths Chapter 13 Ex 13.1 PDF. Surface Areas and Volumes Class 10 Maths NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. Exercise 13.1 Class 10 Maths NCERT Solutions were prepared according to CBSE marking scheme and guidelines.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.cbselabs.com\/ncert-solutions-class-10th-maths-chapter-13-surface-areas-volumes\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1\" \/>\n<meta property=\"og:description\" content=\"Get Free NCERT Solutions for Class 10 Maths Chapter 13 Ex 13.1 PDF. Surface Areas and Volumes Class 10 Maths NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. Exercise 13.1 Class 10 Maths NCERT Solutions were prepared according to CBSE marking scheme and guidelines.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.cbselabs.com\/ncert-solutions-class-10th-maths-chapter-13-surface-areas-volumes\/\" \/>\n<meta property=\"og:site_name\" content=\"CBSE Labs\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/ncertsolutionsbooks\/\" \/>\n<meta property=\"article:modified_time\" content=\"2021-09-18T10:00:44+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.cbselabs.com\/wp-content\/uploads\/2019\/04\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes.png\" \/>\n\t<meta property=\"og:image:width\" content=\"560\" \/>\n\t<meta property=\"og:image:height\" content=\"315\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:site\" content=\"@learncbse\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"7 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.cbselabs.com\/#organization\",\"name\":\"LearnCBSE\",\"url\":\"https:\/\/www.cbselabs.com\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/ncertsolutionsbooks\/\",\"https:\/\/www.instagram.com\/learncbse.in\/\",\"https:\/\/www.youtube.com\/user\/CBSEPapers\",\"https:\/\/in.pinterest.com\/learncbsein\/\",\"https:\/\/twitter.com\/learncbse\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.cbselabs.com\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2017\/01\/LearnCBSE.in_.png?fit=210%2C198&ssl=1\",\"contentUrl\":\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2017\/01\/LearnCBSE.in_.png?fit=210%2C198&ssl=1\",\"width\":210,\"height\":198,\"caption\":\"LearnCBSE\"},\"image\":{\"@id\":\"https:\/\/www.cbselabs.com\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.cbselabs.com\/#website\",\"url\":\"https:\/\/www.cbselabs.com\/\",\"name\":\"CBSE Labs\",\"description\":\"NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12\",\"publisher\":{\"@id\":\"https:\/\/www.cbselabs.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.cbselabs.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.cbselabs.com\/ncert-solutions-class-10th-maths-chapter-13-surface-areas-volumes\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/04\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes.png?fit=560%2C315&ssl=1\",\"contentUrl\":\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2019\/04\/NCERT-Solutions-for-Class-10-Maths-Chapter-13-Surface-Areas-and-Volumes.png?fit=560%2C315&ssl=1\",\"width\":560,\"height\":315,\"caption\":\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.cbselabs.com\/ncert-solutions-class-10th-maths-chapter-13-surface-areas-volumes\/#webpage\",\"url\":\"https:\/\/www.cbselabs.com\/ncert-solutions-class-10th-maths-chapter-13-surface-areas-volumes\/\",\"name\":\"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1\",\"isPartOf\":{\"@id\":\"https:\/\/www.cbselabs.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.cbselabs.com\/ncert-solutions-class-10th-maths-chapter-13-surface-areas-volumes\/#primaryimage\"},\"datePublished\":\"2019-09-07T19:30:43+00:00\",\"dateModified\":\"2021-09-18T10:00:44+00:00\",\"description\":\"Get Free NCERT Solutions for Class 10 Maths Chapter 13 Ex 13.1 PDF. Surface Areas and Volumes Class 10 Maths NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. 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Surface Areas and Volumes Class 10 Maths NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. Exercise 13.1 Class 10 Maths NCERT Solutions were prepared according to CBSE marking scheme and guidelines.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.cbselabs.com\/ncert-solutions-class-10th-maths-chapter-13-surface-areas-volumes\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1","og_description":"Get Free NCERT Solutions for Class 10 Maths Chapter 13 Ex 13.1 PDF. Surface Areas and Volumes Class 10 Maths NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. 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Surface Areas and Volumes Class 10 Maths NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. 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