{"id":665734,"date":"2023-07-28T11:19:27","date_gmt":"2023-07-28T05:49:27","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=665734"},"modified":"2023-07-28T11:19:38","modified_gmt":"2023-07-28T05:49:38","slug":"mensuration-2","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/","title":{"rendered":"Mensuration"},"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\/topics\/mensuration\/#Mensuration_Maths_-_Definition_of_Mensuration\" title=\"Mensuration Maths &#8211; Definition of Mensuration\">Mensuration Maths &#8211; Definition of Mensuration<\/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\/topics\/mensuration\/#Mensuration_Differences_Between_2D_and_3D_Shapes\" title=\"Mensuration: Differences Between 2D and 3D Shapes\">Mensuration: Differences Between 2D and 3D Shapes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/#Mensuration_Formulas_For_2D_Shapes\" title=\"Mensuration Formulas For 2D Shapes\">Mensuration Formulas For 2D Shapes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/#Mensuration_Formulas_for_3D_Shapes\" title=\"Mensuration Formulas for 3D Shapes\">Mensuration Formulas for 3D Shapes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/#Mensuration_Solved_Problems\" title=\"Mensuration Solved Problems\">Mensuration Solved Problems<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/#Frequently_Asked_Questions_on_Mensuration\" title=\"Frequently Asked Questions on Mensuration\">Frequently Asked Questions on Mensuration<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/#What_is_mensuration_and_example\" title=\"What is mensuration, and example?\">What is mensuration, and example?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/#What_is_the_method_of_mensuration\" title=\"What is the method of mensuration?\">What is the method of mensuration?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/#What_are_the_two_types_of_mensuration\" title=\"What are the two types of mensuration?\">What are the two types of mensuration?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/#What_is_mensuration_formulas\" title=\"What is mensuration formulas?\">What is mensuration formulas?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>Mensuration is a vital branch of mathematics that delves into the art of measuring geometric figures and understanding their various parameters. From calculating lengths and volumes to exploring surface areas and shapes, mensuration equips us with the tools to comprehend the intricate characteristics of diverse geometric objects.<\/p>\n<p>This article will unravel the essential concepts of mensuration, mensuration formulas and properties for different geometric shapes.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Mensuration_Maths_-_Definition_of_Mensuration\"><\/span>Mensuration Maths &#8211; Definition of Mensuration<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Mensuration in mathematics is a specialised branch that focuses on the measurement and study of geometric shapes&#8217; length, volume, and area. These shapes can exist in either two dimensions (2D) or three dimensions (3D). In 2D, mensuration deals with figures such as triangles, circles, squares, and rectangles, while in 3D, it encompasses objects like cubes, spheres, cylinders, and prisms.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Mensuration_Differences_Between_2D_and_3D_Shapes\"><\/span>Mensuration: Differences Between 2D and 3D Shapes<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Below mentioned table marks the differences between 2D and 3D shapes with respect to different aspects.<\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0;\">\n<td style=\"text-align: center; color: black;\"><strong>Aspect<\/strong><\/td>\n<td style=\"text-align: center; color: black;\"><strong>2D Shapes<\/strong><\/td>\n<td style=\"text-align: center; color: black;\"><strong>3D Shapes<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Dimension<\/td>\n<td>Exist in two dimensions (length and width)<\/td>\n<td>Exist in three dimensions (length, width, and height)<\/td>\n<\/tr>\n<tr>\n<td>Examples<\/td>\n<td>Circle, Square, Triangle, Rectangle, etc.<\/td>\n<td>Cube, Sphere, Cylinder, Prism, etc.<\/td>\n<\/tr>\n<tr>\n<td>Representation<\/td>\n<td>Flat and drawn on a plane<\/td>\n<td>Solid and occupy space<\/td>\n<\/tr>\n<tr>\n<td>Properties<\/td>\n<td>Area is the main property<\/td>\n<td>Volume and surface area are the main properties<\/td>\n<\/tr>\n<tr>\n<td>Measurements<\/td>\n<td>Length and area<\/td>\n<td>Length, area, and volume<\/td>\n<\/tr>\n<tr>\n<td>Visual representation<\/td>\n<td>Appear as flat shapes on paper<\/td>\n<td>Appear as solid objects in space<\/td>\n<\/tr>\n<tr>\n<td>Real-world applications<\/td>\n<td>Measuring floor area, drawing shapes, calculating perimeters, etc.<\/td>\n<td>Measuring volumes, designing buildings, creating 3D models, etc.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Let&#8217;s have a look at the terms, their abbreviations and definition which will be related to mensuration.<\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" style=\"width: 100%;\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0;\">\n<td style=\"text-align: center; color: black; width: 20.8617%;\"><strong>Terms<\/strong><\/td>\n<td style=\"text-align: center; color: black; width: 29.4785%;\"><strong>Abbreviation<\/strong><\/td>\n<td style=\"text-align: center; color: black; width: 14.059%;\"><strong>Unit<\/strong><\/td>\n<td style=\"text-align: center; color: black; width: 35.1474%;\"><strong>Definition<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20.8617%;\">Area<\/td>\n<td style=\"width: 29.4785%;\">A<\/td>\n<td style=\"width: 14.059%;\">m\u00b2 or cm\u00b2<\/td>\n<td style=\"width: 35.1474%;\">The surface covered by a closed shape.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20.8617%;\">Perimeter<\/td>\n<td style=\"width: 29.4785%;\">P<\/td>\n<td style=\"width: 14.059%;\">cm or m<\/td>\n<td style=\"width: 35.1474%;\">Measures the continuous line along the boundary of a figure.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20.8617%;\">Volume<\/td>\n<td style=\"width: 29.4785%;\">V<\/td>\n<td style=\"width: 14.059%;\">cm\u00b3 or m\u00b3<\/td>\n<td style=\"width: 35.1474%;\">The space occupied by a 3D shape.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20.8617%;\">Curved Surface Area<\/td>\n<td style=\"width: 29.4785%;\">CSA<\/td>\n<td style=\"width: 14.059%;\">m\u00b2 or cm\u00b2<\/td>\n<td style=\"width: 35.1474%;\">The total area of a curved surface in a 3D shape (e.g., Sphere).<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20.8617%;\">Lateral Surface Area<\/td>\n<td style=\"width: 29.4785%;\">LSA<\/td>\n<td style=\"width: 14.059%;\">m\u00b2 or cm\u00b2<\/td>\n<td style=\"width: 35.1474%;\">The total area of all lateral surfaces surrounding a 3D figure.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20.8617%;\">Total Surface Area<\/td>\n<td style=\"width: 29.4785%;\">TSA<\/td>\n<td style=\"width: 14.059%;\">m\u00b2 or cm\u00b2<\/td>\n<td style=\"width: 35.1474%;\">The area covered by a square of one unit side length.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20.8617%;\">Square Unit<\/td>\n<td style=\"width: 29.4785%;\">&#8211;<\/td>\n<td style=\"width: 14.059%;\">m\u00b2 or cm\u00b2<\/td>\n<td style=\"width: 35.1474%;\">The area covered by a square of one unit side length.<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20.8617%;\">Cube Unit<\/td>\n<td style=\"width: 29.4785%;\">&#8211;<\/td>\n<td style=\"width: 14.059%;\">m\u00b2 or cm\u00b2<\/td>\n<td style=\"width: 35.1474%;\">The volume occupied by a cube with one side of one unit length.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span class=\"ez-toc-section\" id=\"Mensuration_Formulas_For_2D_Shapes\"><\/span>Mensuration Formulas For 2D Shapes<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Below are the mensuration formulas for two-dimensional shapes in geometry.<\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0;\">\n<td style=\"text-align: center; color: black;\"><strong>Shape<\/strong><\/td>\n<td style=\"text-align: center; color: black;\"><strong>Area (Square Units)<\/strong><\/td>\n<td style=\"text-align: center; color: black;\"><strong>Perimeter (Units)<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Square<\/td>\n<td>a\u00b2<\/td>\n<td>4a<\/td>\n<\/tr>\n<tr>\n<td>Rectangle<\/td>\n<td>l \u00d7 b<\/td>\n<td>2(l + b)<\/td>\n<\/tr>\n<tr>\n<td>Circle<\/td>\n<td>\u03c0r\u00b2<\/td>\n<td>2\u03c0r<\/td>\n<\/tr>\n<tr>\n<td>Scalene Triangle<\/td>\n<td>\u221a[s(s\u2212a)(s\u2212b)(s\u2212c)],<br \/>\nWhere, s = (a+b+c)\/2<\/td>\n<td>a + b + c<\/td>\n<\/tr>\n<tr>\n<td>Isosceles Triangle<\/td>\n<td>(\u221a3\/4) \u00d7 a\u00b2<\/td>\n<td>3a<\/td>\n<\/tr>\n<tr>\n<td>Right Angle Triangle<\/td>\n<td>\u00bd \u00d7 b \u00d7 h<\/td>\n<td>b + hypotenuse + h<\/td>\n<\/tr>\n<tr>\n<td>Rhombus<\/td>\n<td>\u00bd \u00d7 d\u2081 \u00d7 d\u2082<\/td>\n<td>4 \u00d7 side<\/td>\n<\/tr>\n<tr>\n<td>Parallelogram<\/td>\n<td>b \u00d7 h<\/td>\n<td>2(l + b)<\/td>\n<\/tr>\n<tr>\n<td>Trapezium<\/td>\n<td>\u00bd \u00d7 h(a + c)<\/td>\n<td>a + b + c + d<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span class=\"ez-toc-section\" id=\"Mensuration_Formulas_for_3D_Shapes\"><\/span>Mensuration Formulas for 3D Shapes<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Go through the mensuration formulas tabulated below for three-dimensional shapes in geometry.<\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0;\">\n<td style=\"text-align: center; color: black;\"><strong>Shape<\/strong><\/td>\n<td style=\"text-align: center; color: black;\"><strong>Volume (Cubic Units)<\/strong><\/td>\n<td style=\"text-align: center; color: black;\"><strong>Curved Surface Area (CSA) or Lateral Surface Area (LSA) (Square Units)<\/strong><\/td>\n<td style=\"text-align: center; color: black;\"><strong>Total Surface Area (TSA) (Square Units)<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Cube<\/td>\n<td>a\u00b3<\/td>\n<td>CSA = 4a\u00b2<\/td>\n<td>6a\u00b2<\/td>\n<\/tr>\n<tr>\n<td>Cuboid<\/td>\n<td>l \u00d7 b \u00d7 h<\/td>\n<td>LSA = 2h(l + b)<\/td>\n<td>2(lb + bh + h<\/td>\n<\/tr>\n<tr>\n<td>Sphere<\/td>\n<td>(4\/3)\u03c0r\u00b3<\/td>\n<td>CSA = 4\u03c0r\u00b2<\/td>\n<td>4\u03c0r\u00b2<\/td>\n<\/tr>\n<tr>\n<td>Hemisphere<\/td>\n<td>Hemisphere<br \/>\n(\u2154)\u03c0r\u00b3<\/td>\n<td>LSA = 2\u03c0r\u00b2<\/td>\n<td>3\u03c0r\u00b2<\/td>\n<\/tr>\n<tr>\n<td>Cylinder<\/td>\n<td>\u03c0r\u00b2h<\/td>\n<td>LSA = 2\u03c0rh<\/td>\n<td>2\u03c0rh + 2\u03c0r\u00b2<\/td>\n<\/tr>\n<tr>\n<td>Cone<\/td>\n<td>(\u2153)\u03c0r\u00b2h<\/td>\n<td>\u03c0rl<\/td>\n<td>\u03c0r(r + l)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span class=\"ez-toc-section\" id=\"Mensuration_Solved_Problems\"><\/span>Mensuration Solved Problems<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Question 1: Find the area and perimeter of a rectangle with length 10 cm and width 6 cm.<\/strong><\/p>\n<p>Solution: Given:<br \/>\nLength of the rectangle (l) = 10 cm<br \/>\nWidth of the rectangle (b) = 6 cm<br \/>\nArea of the rectangle = length \u00d7 width<br \/>\nArea = 10 cm \u00d7 6 cm<br \/>\n= 60 square centimetres (cm\u00b2)<\/p>\n<p>Perimeter of the rectangle = 2 \u00d7 (length + width)<br \/>\nPerimeter = 2 \u00d7 (10 cm + 6 cm)<br \/>\n= 32 centimetres (cm)<\/p>\n<p>Therefore, the area of the rectangle is 60 cm\u00b2, and the perimeter is 32 cm.<\/p>\n<p><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/math-articles\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Math Articles<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/formulas\/math-formulas\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Math Formulas<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/topics\/a2-b2-formula\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">a<sup>2<\/sup> b<sup>2<\/sup> Formula<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/topics\/a-b-whole-cube-formula\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">(a + b) Whole Cube Formula<\/button><\/a><\/p>\n<p><strong>Question 2: A cylindrical water tank has a height of 15 meters and a base radius of 4 meters. Calculate the tank&#8217;s volume and total surface area (take \u03c0 = 3.14).<\/strong><\/p>\n<p>Solution: Given:<br \/>\nHeight of the cylinder (h) = 15 meters<br \/>\nBase radius of the cylinder (r) = 4 meters<br \/>\n\u03c0 (Pi) = 3.14 (approximate value)<br \/>\nVolume of the cylinder = \u03c0r\u00b2h cubic meters<br \/>\nVolume = 3.14 \u00d7 4\u00b2 \u00d7 15 = 753.6 cubic meters (approx.)<br \/>\nTotal Surface Area of the cylinder = 2\u03c0rh + 2\u03c0r\u00b2 square meters<br \/>\nTSA = 2 \u00d7 3.14 \u00d7 4 \u00d7 15 + 2 \u00d7 3.14 \u00d7 4\u00b2<br \/>\n= 376.8 + 100.48<br \/>\n= 477.28 square meters (approx.)<\/p>\n<p>Therefore, the volume of the cylinder is approximately 753.6 cubic meters, and the total surface area is approximately 477.28 square meters.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_on_Mensuration\"><\/span>Frequently Asked Questions on Mensuration<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_mensuration_and_example\"><\/span>What is mensuration, and example?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tMensuration is the branch of mathematics that deals with measuring geometric figures like length, area, volume, etc. Example: Calculating the area of a rectangular field. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_method_of_mensuration\"><\/span>What is the method of mensuration?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe mensuration method involves using specific formulas and equations to measure and calculate the dimensions and properties of geometric shapes based on given information.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_are_the_two_types_of_mensuration\"><\/span>What are the two types of mensuration?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe two types are: - 2D (Two-Dimensional) Mensuration: Deals with flat shapes like squares, circles. - 3D (Three-Dimensional) Mensuration: Involves solid shapes like cubes, spheres. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_mensuration_formulas\"><\/span>What is mensuration formulas?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tMensuration formulas are mathematical equations used to calculate parameters like area, volume, and perimeter of geometric shapes. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is mensuration, and example?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Mensuration is the branch of mathematics that deals with measuring geometric figures like length, area, volume, etc. Example: Calculating the area of a rectangular field.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the method of mensuration?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The mensuration method involves using specific formulas and equations to measure and calculate the dimensions and properties of geometric shapes based on given information.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What are the two types of mensuration?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The two types are: - 2D (Two-Dimensional) Mensuration: Deals with flat shapes like squares, circles. - 3D (Three-Dimensional) Mensuration: Involves solid shapes like cubes, spheres.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is mensuration formulas?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Mensuration formulas are mathematical equations used to calculate parameters like area, volume, and perimeter of geometric shapes.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Mensuration is a vital branch of mathematics that delves into the art of measuring geometric figures and understanding their various [&hellip;]<\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Mensuration","_yoast_wpseo_title":"Mensuration Maths - Formulas for 2D and 3D & Differences in 2D and 3D","_yoast_wpseo_metadesc":"Mensuration in Maths deals with measuring and calculating geometric shapes like 2D , 3D like areas, volumes, and lengths.","custom_permalink":"topics\/mensuration\/"},"categories":[8594,8591],"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>Mensuration Maths - Formulas for 2D and 3D &amp; Differences in 2D and 3D<\/title>\n<meta name=\"description\" content=\"Mensuration in Maths deals with measuring and calculating geometric shapes like 2D , 3D like areas, volumes, and lengths.\" \/>\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\/topics\/mensuration\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mensuration Maths - Formulas for 2D and 3D &amp; Differences in 2D and 3D\" \/>\n<meta property=\"og:description\" content=\"Mensuration in Maths deals with measuring and calculating geometric shapes like 2D , 3D like areas, volumes, and lengths.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T05:49:27+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-07-28T05:49:38+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1008\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Ankit\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Mensuration Maths - Formulas for 2D and 3D & Differences in 2D and 3D","description":"Mensuration in Maths deals with measuring and calculating geometric shapes like 2D , 3D like areas, volumes, and lengths.","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:\/\/infinitylearn.com\/surge\/topics\/mensuration\/","og_locale":"en_US","og_type":"article","og_title":"Mensuration Maths - Formulas for 2D and 3D & Differences in 2D and 3D","og_description":"Mensuration in Maths deals with measuring and calculating geometric shapes like 2D , 3D like areas, volumes, and lengths.","og_url":"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_published_time":"2023-07-28T05:49:27+00:00","article_modified_time":"2023-07-28T05:49:38+00:00","og_image":[{"width":1920,"height":1008,"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_creator":"@InfinityLearn_","twitter_site":"@InfinityLearn_","twitter_misc":{"Written by":"Ankit","Est. reading time":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/","name":"Mensuration Maths - Formulas for 2D and 3D & Differences in 2D and 3D","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"datePublished":"2023-07-28T05:49:27+00:00","dateModified":"2023-07-28T05:49:38+00:00","description":"Mensuration in Maths deals with measuring and calculating geometric shapes like 2D , 3D like areas, volumes, and lengths.","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"Mensuration"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d647d4ff3a1111ff8eeccdb6b12651cb"},"headline":"Mensuration","datePublished":"2023-07-28T05:49:27+00:00","dateModified":"2023-07-28T05:49:38+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/topics\/mensuration\/#webpage"},"wordCount":875,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"articleSection":["Maths Topics","Topics"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d647d4ff3a1111ff8eeccdb6b12651cb","name":"Ankit","image":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/b1068bdc2711bd9c9f8be3b229f758f6?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/b1068bdc2711bd9c9f8be3b229f758f6?s=96&d=mm&r=g","caption":"Ankit"},"url":"https:\/\/infinitylearn.com\/surge\/author\/ankit\/"}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/665734"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/53"}],"replies":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/comments?post=665734"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/665734\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=665734"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=665734"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=665734"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=665734"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}