{"id":26600,"date":"2022-01-31T11:44:59","date_gmt":"2022-01-31T06:14:59","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=26600"},"modified":"2024-02-21T12:36:48","modified_gmt":"2024-02-21T07:06:48","slug":"surface-areas-and-volumes-class-9-notes-maths-chapter-13","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-material\/cbse-notes\/class-9\/maths\/surface-areas-and-volumes-class-9-notes-maths-chapter-13\/","title":{"rendered":"Surface Areas and Volumes Class 9 Notes Maths Chapter 13"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/cbse-notes\/class-9\/maths\/surface-areas-and-volumes-class-9-notes-maths-chapter-13\/#CBSE_Class_9_Maths_Notes_Chapter_13_Surface_Areas_and_Volumes\" title=\"CBSE Class 9 Maths Notes Chapter 13 Surface Areas and Volumes\">CBSE Class 9 Maths Notes Chapter 13 Surface Areas and Volumes<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/cbse-notes\/class-9\/maths\/surface-areas-and-volumes-class-9-notes-maths-chapter-13\/#NCERT_Notes_for_Class_9_Maths\" title=\"NCERT Notes for Class 9 Maths\">NCERT Notes for Class 9 Maths<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_Class_9_Maths_Notes_Chapter_13_Surface_Areas_and_Volumes\"><\/span>CBSE Class 9 Maths Notes Chapter 13 Surface Areas and Volumes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. <strong>Cuboid:<\/strong> A figure which is surrounded by six rectangular surfaces is called cuboid.<br \/>\nThe opposite surface of a cuboid is equal and parallel.<\/p>\n<p>A cuboid has 12 edges and 8 corners. Each corner of a cuboid is called the vertex of a cuboid. The line segment joining the opposite vertices is called the diagonal of a cuboid. There are four diagonals in a cuboid.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/40632096803_5a1702f309_o.png\" alt=\"Surface Areas and Volumes Class 9 Notes Maths Chapter 13 1\" width=\"306\" height=\"233\" \/><br \/>\nVolume of cuboid = Length \u00d7 Breadth \u00d7 Height = l \u00d7 b \u00d7 h<br \/>\nLateral surface area = 2 (Length + Breadth) \u00d7 Height = 2 (l + b) \u00d7 h<br \/>\nTotal surface area = 2 (Length \u00d7 Breadth + Breadth \u00d7 Height + Height \u00d7 Length) = 2 (lb + bh + hl)<br \/>\nTotal length of cuboid = 4 (l + b + h)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/40632096793_ffa0c025b3_o.png\" alt=\"Surface Areas and Volumes Class 9 Notes Maths Chapter 13 2\" width=\"514\" height=\"80\" \/><\/p>\n<p>2. <strong>Cube:<\/strong> A cuboid, whose length, breadth and height are same is called a cube.<br \/>\nA cube has six surfaces, twelve edges, eight corners and four diagonals.<br \/>\nVolume of cube= (Side)<sup>3<\/sup> = l<sup>3<\/sup><br \/>\nLateral surface area = 4 \u00d7 (Side)<sup>2<\/sup> = 4l<sup>2<\/sup><br \/>\nTotal surface area = 6 \u00d7 (Side)<sup>2<\/sup> = 6l<sup>2<\/sup><br \/>\nTotal length of cube = 12l<br \/>\nDiagonal of cube = \u221a3 l<\/p>\n<p>3. <strong>Right Circular Cylinder:<\/strong> A right circular cylinder is considered as a solid generated by the revolution of a rectangle about one of its sides.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/40632096663_459ae72c1c_o.png\" alt=\"Surface Areas and Volumes Class 9 Notes Maths Chapter 13 3\" width=\"166\" height=\"248\" \/><br \/>\nThe volume of a cylinder = \u03c0r<sup>2<\/sup>h<br \/>\nCurved surface area or lateral surface area = 2\u03c0rh<br \/>\nTotal surface area = Curved surface + 2 \u00d7 Base area = 2\u03c0rh + 2\u03c0r<sup>2<\/sup> = 2\u03c0r(h + r)<\/p>\n<p>4. <strong>Cone:<\/strong> A right circular cone is a solid generated by revolving of a triangle about one of its sides (other than hypotenuse).<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/40632096633_d7a8112dfc_o.png\" alt=\"Surface Areas and Volumes Class 9 Notes Maths Chapter 13 4\" width=\"155\" height=\"224\" \/><br \/>\nVolume of cone = \\(\\frac { 1 }{ 3 }\\) \u03c0r<sup>2<\/sup>h<br \/>\nCurved surface area or lateral surface area = \u03c0rl<br \/>\nTotal surface area = Curved surface area + Base area<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/40632096433_1d1c6c531c_o.png\" alt=\"Surface Areas and Volumes Class 9 Notes Maths Chapter 13 5\" width=\"128\" height=\"179\" \/><\/p>\n<p>5. <strong>Sphere:<\/strong> A solid which is surrounded by a curved surface and each point of the surface is the same distance from a fixed point. The fixed point is called the centre of the sphere. The line segment joining from the centre of the sphere to any point of the surface is called the radius of the sphere.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/40632096423_d3d4fe310b_o.png\" alt=\"Surface Areas and Volumes Class 9 Notes Maths Chapter 13 6\" width=\"274\" height=\"276\" \/><\/p>\n<p>6. <strong>Hemisphere:<\/strong> A plane passing through the centre of a sphere divides the sphere into two equal parts. Each part is called a hemisphere.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/40632096333_ed28e9cd24_o.png\" alt=\"Surface Areas and Volumes Class 9 Notes Maths Chapter 13 7\" width=\"206\" height=\"142\" \/><br \/>\nVolume of hemisphere = \\(\\frac { 2 }{ 3 }\\) \u03c0r<sup>3<\/sup><br \/>\nThe curved surface area of hemisphere = 2\u03c0r<sup>2<\/sup><br \/>\nTotal surface area of hemisphere = 2\u03c0r<sup>2<\/sup> + \u03c0r<sup>2<\/sup> = 3\u03c0r<sup>2<\/sup><\/p>\n<div class=\"featured-snippet\">\n<h3><span class=\"ez-toc-section\" id=\"NCERT_Notes_for_Class_9_Maths\"><\/span>NCERT Notes for Class 9 Maths<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>Chapter 1 Number Systems Class 9 Notes<\/li>\n<li>Chapter 2 Polynomials Class 9 Notes<\/li>\n<li>Chapter 3 Introduction to Euclid\u2019s Geometry Class 9 Notes<\/li>\n<li>Chapter 4 Lines and Angles Class 9 Notes<\/li>\n<li>Chapter 5 Triangles Class 9 Notes<\/li>\n<li>Chapter 6 Coordinate Geometry Class 9 Notes<\/li>\n<li>Chapter 7 Heron\u2019s Formula Class 9 Notes<\/li>\n<li>Chapter 8 Linear Equations in Two Variables Class 9 Notes<\/li>\n<li>Chapter 9 Quadrilaterals Class 9 Notes<\/li>\n<li>Chapter 10 Areas of Parallelograms and Triangles Class 9 Notes<\/li>\n<li>Chapter 11 Circles Class 9 Notes<\/li>\n<li>Chapter 12 Constructions Class 9 Notes<\/li>\n<li>Chapter 13 Surface Areas and Volumes Class 9 Notes<\/li>\n<li>Chapter 14 Statistics Class 9 Notes<\/li>\n<li>Chapter 15 Probability Class 9 Notes<\/li>\n<\/ul>\n<\/div>\n<p>We hope the given CBSE Class 9 Maths Notes Chapter 13 Surface Areas and Volumes Pdf free download will help you. If you have any query regarding NCERT Class 9 Maths Notes Chapter 13 Surface Areas and Volumes, drop a comment below and we will get back to you at the earliest.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; CBSE Class 9 Maths Notes Chapter 13 Surface Areas and Volumes 1. Cuboid: A figure which is surrounded by [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Get Surface Areas and Volumes Class 9 Notes Maths Chapter 13 on Infinity Learn.","custom_permalink":"study-material\/cbse-notes\/class-9\/maths\/surface-areas-and-volumes-class-9-notes-maths-chapter-13\/"},"categories":[92,13,21],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Surface Areas and Volumes Class 9 Notes Maths Chapter 13 - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Get Surface Areas and Volumes Class 9 Notes Maths Chapter 13 on Infinity Learn.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/cbse-notes\/class-9\/maths\/surface-areas-and-volumes-class-9-notes-maths-chapter-13\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Surface Areas and Volumes Class 9 Notes Maths Chapter 13 - 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