{"id":156226,"date":"2022-03-26T01:31:17","date_gmt":"2022-03-25T20:01:17","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/vertices-faces-and-edges\/"},"modified":"2024-08-28T11:52:36","modified_gmt":"2024-08-28T06:22:36","slug":"vertices-faces-and-edges","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/","title":{"rendered":"Vertices, Faces and Edges"},"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\/maths\/faces-edges-and-vertices\/#Faces_Edges_and_Vertices\" title=\"Faces, Edges, and Vertices\">Faces, Edges, and Vertices<\/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\/maths\/faces-edges-and-vertices\/#Faces_Edges_and_Vertices_Overview\" title=\"Faces, Edges, and Vertices Overview\">Faces, Edges, and Vertices Overview<\/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\/maths\/faces-edges-and-vertices\/#What_are_Vertices\" title=\"What are Vertices?\">What are Vertices?<\/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\/maths\/faces-edges-and-vertices\/#What_are_Faces\" title=\"What are Faces?\">What are Faces?<\/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\/maths\/faces-edges-and-vertices\/#What_are_Edges\" title=\"What are Edges?\">What are Edges?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#What_are_Sides\" title=\"What are Sides?\">What are Sides?<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#Faces_Edges_and_Vertices_Formulas\" title=\"Faces, Edges, and Vertices Formulas\">Faces, Edges, and Vertices Formulas<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#Application_of_Eulers_Formula_on_Cube\" title=\"Application of Euler&#8217;s Formula on Cube\">Application of Euler&#8217;s Formula on Cube<\/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\/maths\/faces-edges-and-vertices\/#Lets_apply_Eulers_Formula_F_V_-_E\" title=\"Let&#8217;s apply Euler\u2019s Formula: F + V &#8211; E\">Let&#8217;s apply Euler\u2019s Formula: F + V &#8211; E<\/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\/maths\/faces-edges-and-vertices\/#Faces_Edges_and_Vertices_of_3D_Shapes_Table\" title=\"Faces, Edges, and Vertices of 3D Shapes Table\">Faces, Edges, and Vertices of 3D Shapes Table<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#Faces_Edges_and_Vertices_of_Triangular_Prism\" title=\"Faces, Edges, and Vertices of Triangular Prism\">Faces, Edges, and Vertices of Triangular Prism<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#Faces_Edges_and_Vertices_of_Cube\" title=\"Faces, Edges, and Vertices of Cube\">Faces, Edges, and Vertices of Cube<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#Faces_Edges_and_Vertices_of_Cuboid\" title=\"Faces, Edges, and Vertices of Cuboid\">Faces, Edges, and Vertices of Cuboid<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#Faces_Edges_and_Vertices_of_Cone\" title=\"Faces, Edges, and Vertices of Cone\">Faces, Edges, and Vertices of Cone<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#Faces_Edges_and_Vertices_of_Rectangular_Prism\" title=\"Faces, Edges, and Vertices of Rectangular Prism\">Faces, Edges, and Vertices of Rectangular Prism<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#Faces_Edges_and_Vertices_of_Sphere\" title=\"Faces, Edges, and Vertices of Sphere\">Faces, Edges, and Vertices of Sphere<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#Faces_Edges_and_Vertices_of_Cylinder\" title=\"Faces, Edges, and Vertices of Cylinder\">Faces, Edges, and Vertices of Cylinder<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#Faces_Edges_and_Vertices_of_Hexagonal_Pyramid\" title=\"Faces, Edges, and Vertices of Hexagonal Pyramid\">Faces, Edges, and Vertices of Hexagonal Pyramid<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#Faces_Edges_and_Vertices_of_Triangular_Pyramid_Tetrahedron\" title=\"Faces, Edges and Vertices of Triangular Pyramid (Tetrahedron)\">Faces, Edges and Vertices of Triangular Pyramid (Tetrahedron)<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#FAQs_on_Faces_Edges_and_Vertices\" title=\"FAQs on Faces, Edges and Vertices\">FAQs on Faces, Edges and Vertices<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#What_are_vertices_faces_and_edges\" title=\"What are vertices, faces, and edges?\">What are vertices, faces, and edges?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#What_is_Eulers_Formula\" title=\"What is Euler\u2019s Formula?\">What is Euler\u2019s Formula?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-23\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#What_is_the_difference_between_2D_and_3D_Class_7\" title=\"What is the difference between 2D and 3D Class 7?\">What is the difference between 2D and 3D Class 7?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-24\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#What_are_3D_shapes_class_7\" title=\"What are 3D shapes class 7?\">What are 3D shapes class 7?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-25\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/faces-edges-and-vertices\/#What_is_vertices_Class_7\" title=\"What is vertices Class 7?\">What is vertices Class 7?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Faces_Edges_and_Vertices\"><\/span>Faces, Edges, and Vertices<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Faces, Edges, and Vertices<\/strong> are the three principal properties that define any 3D solid. The face of an object is the flat surface on it, an edge is a straight line between two faces whereas a vertex is the corner of the shape.<\/p>\n<p>Below are the figures for better clarity about these terms: Faces, Edges, and Vertices.<\/p>\n<h3><img loading=\"lazy\" class=\"alignnone wp-image-730851 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Faces-Edges-and-Vertices.png\" alt=\"Faces Edges and Vertices\" width=\"815\" height=\"383\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Faces-Edges-and-Vertices.png 815w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Faces-Edges-and-Vertices-300x141.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Faces-Edges-and-Vertices-768x361.png 768w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Faces-Edges-and-Vertices-150x70.png 150w\" sizes=\"(max-width: 815px) 100vw, 815px\" \/><\/h3>\n<p style=\"text-align: center;\"><a title=\"Foundation CBSE 7\" href=\"https:\/\/infinitylearn.com\/online-courses-cbse-class-7\" target=\"_blank\" rel=\"noopener\"><strong><button>Enroll in Class 7 CBSE Foundation Classes<\/button><\/strong><\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Faces_Edges_and_Vertices_Overview\"><\/span>Faces, Edges, and Vertices Overview<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Faces, Edges, and Vertices in math are related to the concept of solids that help us define the 3D object. We come across a number of objects around us that are of different shapes and sizes. They have different types, dimensions, and characteristic properties that set them apart from one another. But despite being different from each other, they all occupy space and are three-dimensional.<\/p>\n<p>The example of objects that have Faces, Edges, and Vertices are ice cubes, books, boxes, chalk, pipe, and more.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_are_Vertices\"><\/span>What are Vertices?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>In mathematics, a vertex is defined as a point where two or more edges meet. They are also known as the corner points.<\/p>\n<h3><img loading=\"lazy\" class=\"alignnone size-medium wp-image-730850\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/vertex-300x157.png\" alt=\"vertex\" width=\"300\" height=\"157\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/vertex-300x157.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/vertex-150x79.png 150w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/vertex.png 458w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/h3>\n<p>The below table gives us the data of the vertices for different shapes.<\/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; color: black;\">\n<td><strong>Shapes<\/strong><\/td>\n<td><strong>Number of Vertices<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Cubes<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td>Cuboids<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td>Cones<\/td>\n<td>1<\/td>\n<\/tr>\n<tr>\n<td>Cylinders<\/td>\n<td>No Vertex<\/td>\n<\/tr>\n<tr>\n<td>Spheres<\/td>\n<td>No Vertex<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h3><span class=\"ez-toc-section\" id=\"What_are_Faces\"><\/span>What are Faces?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Every solid has a flat surface. These individual flat surfaces are called Faces. Solids usually have more than one face.<\/p>\n<h3><img loading=\"lazy\" class=\"alignnone size-medium wp-image-730849\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/face-300x184.png\" alt=\"face\" width=\"300\" height=\"184\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/face-300x184.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/face-150x92.png 150w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/face.png 461w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/h3>\n<p>The below table gives us the data of the number of Faces for different shapes.<\/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; color: black;\">\n<td><strong>Shapes<\/strong><\/td>\n<td><strong>Number of Faces<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Cubes<\/td>\n<td>6<\/td>\n<\/tr>\n<tr>\n<td>Cuboids<\/td>\n<td>6<\/td>\n<\/tr>\n<tr>\n<td>Cones<\/td>\n<td>\n<ul>\n<li>A Flat Surface<\/li>\n<li>A Curved surface<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<tr>\n<td>Cylinders<\/td>\n<td>\n<ul>\n<li>2 Flat Surfaces<\/li>\n<li>1 Curved Surface<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<tr>\n<td>Spheres<\/td>\n<td>Only Curved surfaces<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h3><span class=\"ez-toc-section\" id=\"What_are_Edges\"><\/span>What are Edges?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Edges are defined as a line segment joining two edges.<\/p>\n<p>Definition of Edge: An edge is defined as a line segment that acts as an interface between two faces of a solid.<\/p>\n<h3><img loading=\"lazy\" class=\"alignnone size-medium wp-image-730848\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/edge-300x183.png\" alt=\"edge\" width=\"300\" height=\"183\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/edge-300x183.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/edge-150x91.png 150w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/edge.png 402w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/h3>\n<p>The below table gives us the data of the number of Edges for different shapes.<\/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; color: black;\">\n<td><strong>Shapes<\/strong><\/td>\n<td><strong>Number of Edges<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Cubes<\/td>\n<td>12<\/td>\n<\/tr>\n<tr>\n<td>Cuboids<\/td>\n<td>12<\/td>\n<\/tr>\n<tr>\n<td>Cones<\/td>\n<td>1<\/td>\n<\/tr>\n<tr>\n<td>Cylinders<\/td>\n<td>2<\/td>\n<\/tr>\n<tr>\n<td>Spheres<\/td>\n<td>No Edge<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h3><span class=\"ez-toc-section\" id=\"What_are_Sides\"><\/span>What are Sides?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Sides is a term generally used for polygons. For example, a Square has four sides while a triangle has 3 sides.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Faces_Edges_and_Vertices_Formulas\"><\/span>Faces, Edges, and Vertices Formulas<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Euler&#8217;s formula is used to determine the relation between Faces, Edges, and Vertices. This formula is to be used for closed solids that have flat faces and straight edges such as cubes, cuboids, and more. It can not be used for shapes with curved edges such as cylinders.<\/p>\n<p>Euler&#8217;s Formula is given by: F + V &#8211; E= 2<\/p>\n<p>Where, F, V, and E are the number of Faces, Vertices, and Edges respectively.<\/p>\n<p>Euler&#8217;s Theorem is one of the most important theorems in mathematics. It is named after Leonhard Euler. Euler&#8217;s Formula states that for many solid shapes, the number of Edges subtracted from the sum of the number of Faces and number of Vertices gives 2.<\/p>\n<p style=\"text-align: center;\"><a title=\"Join The Best Foundation Course for Class 7\" href=\"https:\/\/infinitylearn.com\/foundation-course-for-class-7\" target=\"_blank\" rel=\"noopener\"><strong><button>Join The Best Foundation Course for Class 7<\/button><\/strong><\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Application_of_Eulers_Formula_on_Cube\"><\/span>Application of Euler&#8217;s Formula on Cube<span class=\"ez-toc-section-end\"><\/span><\/h3>\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; color: black;\">\n<td><strong>Shape of the Solid <\/strong><\/td>\n<td><strong>Cube <\/strong><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Vertices <\/span><\/td>\n<td><span style=\"font-weight: 400;\">8<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Faces <\/span><\/td>\n<td><span style=\"font-weight: 400;\">6<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">Edges <\/span><\/td>\n<td><span style=\"font-weight: 400;\">12<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h3><span class=\"ez-toc-section\" id=\"Lets_apply_Eulers_Formula_F_V_-_E\"><\/span>Let&#8217;s apply Euler\u2019s Formula: <b style=\"font-size: 16px;\">F + V &#8211; E<\/b><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><b>6 + 8 &#8211; 12 <\/b><\/p>\n<p><b>= 14 &#8211; 12<\/b><\/p>\n<p><b>= 2<\/b><\/p>\n<p>Therefore, Eulers Formula is satisfied.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Faces_Edges_and_Vertices_of_3D_Shapes_Table\"><\/span>Faces, Edges, and Vertices of 3D Shapes Table<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Below given table compares the data of the Faces, Edges, and Vertices of different three-dimensional shapes.<\/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; color: black;\">\n<td><strong>Shape of the Solid<\/strong><\/td>\n<td><strong>Vertices<\/strong><\/td>\n<td><strong>Faces<\/strong><\/td>\n<td><strong>Edges<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Cubes<\/td>\n<td>8<\/td>\n<td>6<\/td>\n<td>12<\/td>\n<\/tr>\n<tr>\n<td>Cuboids<\/td>\n<td>8<\/td>\n<td>6<\/td>\n<td>12<\/td>\n<\/tr>\n<tr>\n<td>Cones<\/td>\n<td>1<\/td>\n<td>2 (A Flat Surface and a Curved surface)<\/td>\n<td>1<\/td>\n<\/tr>\n<tr>\n<td>Cylinders<\/td>\n<td>0 (No Vertex)<\/td>\n<td>3 (2 Flat Surfaces and 1 Curved Surface)<\/td>\n<td>2<\/td>\n<\/tr>\n<tr>\n<td>Spheres<\/td>\n<td>0 (No Vertex)<\/td>\n<td>1 (Only Curved Surface )<\/td>\n<td>0 (No Edge)<\/td>\n<\/tr>\n<tr>\n<td>Shape of the Solid<\/td>\n<td>Vertices<\/td>\n<td>Faces<\/td>\n<td>Edges<\/td>\n<\/tr>\n<tr>\n<td>Triangular Prism<\/td>\n<td>6<\/td>\n<td>5<\/td>\n<td>9<\/td>\n<\/tr>\n<tr>\n<td>Rectangular Prism<\/td>\n<td>8<\/td>\n<td>6<\/td>\n<td>12<\/td>\n<\/tr>\n<tr>\n<td>Square Prism<\/td>\n<td>8<\/td>\n<td>6<\/td>\n<td>12<\/td>\n<\/tr>\n<tr>\n<td>Pentagonal Prism<\/td>\n<td>10<\/td>\n<td>7<\/td>\n<td>15<\/td>\n<\/tr>\n<tr>\n<td>Hexagonal Prism<\/td>\n<td>12<\/td>\n<td>8<\/td>\n<td>18<\/td>\n<\/tr>\n<tr>\n<td>Triangular Pyramid<\/td>\n<td>4<\/td>\n<td>4<\/td>\n<td>6<\/td>\n<\/tr>\n<tr>\n<td>Rectangular Pyramid<\/td>\n<td>5<\/td>\n<td>5<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td>Square Pyramid<\/td>\n<td>5<\/td>\n<td>5<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td>Pentagonal Pyramid<\/td>\n<td>6<\/td>\n<td>6<\/td>\n<td>10<\/td>\n<\/tr>\n<tr>\n<td>Hexagonal Pyramid<\/td>\n<td>7<\/td>\n<td>7<\/td>\n<td>12<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h3><span class=\"ez-toc-section\" id=\"Faces_Edges_and_Vertices_of_Triangular_Prism\"><\/span>Faces, Edges, and Vertices of Triangular Prism<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>A Triangular Prism is made up of 2 triangular bases and 3 rectangular sides.<\/li>\n<li>It is a three-dimensional shape.<\/li>\n<li>It has 3 side faces and 2 base faces.<\/li>\n<li>All these faces are connected by edges.<\/li>\n<li>Triangular Prism has 5 Faces, 6 Vertices, and 9 Edges.<\/li>\n<\/ul>\n<h3><img loading=\"lazy\" class=\"alignnone wp-image-730846 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Triangular-Prism-.png\" alt=\"Triangular Prism\" width=\"358\" height=\"247\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Triangular-Prism-.png 358w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Triangular-Prism--300x207.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Triangular-Prism--150x103.png 150w\" sizes=\"(max-width: 358px) 100vw, 358px\" \/><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"Faces_Edges_and_Vertices_of_Cube\"><\/span>Faces, Edges, and Vertices of Cube<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>A Cube is a three-dimensional shape with all sides equal.<\/li>\n<li>The point at which 3 edges meet is called the Vertex, and each edge connects two vertices.<\/li>\n<li>A cube has 6 square faces, 12 edges, and 8 vertices.<\/li>\n<\/ul>\n<h3><img loading=\"lazy\" class=\"alignnone wp-image-730847 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/cube.png\" alt=\"cube\" width=\"441\" height=\"242\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/cube.png 441w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/cube-300x165.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/cube-150x82.png 150w\" sizes=\"(max-width: 441px) 100vw, 441px\" \/><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"Faces_Edges_and_Vertices_of_Cuboid\"><\/span>Faces, Edges, and Vertices of Cuboid<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>A Cuboid is a three-dimensional shape with rectangular faces.<\/li>\n<li>The faces of a cuboid are connected by edges.<\/li>\n<li>Similar to the cube, the vertices are the points where the edges meet.<\/li>\n<li>It has 6 faces (each face is a rectangle), 12 edges, and 8 vertices.<\/li>\n<\/ul>\n<h3><img loading=\"lazy\" class=\"alignnone wp-image-730845 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/cuboid.png\" alt=\"cuboid\" width=\"487\" height=\"206\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/cuboid.png 487w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/cuboid-300x127.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/cuboid-150x63.png 150w\" sizes=\"(max-width: 487px) 100vw, 487px\" \/><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"Faces_Edges_and_Vertices_of_Cone\"><\/span>Faces, Edges, and Vertices of Cone<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>A Cone is a three-dimensional shape with a circular base and a single curved surface that tapers to a point.<\/li>\n<li>A cone has 2 faces (1 circular base and 1 curved surface), 1 edge (the circumference of the base), and 1 vertex (the point where the cone tapers).<\/li>\n<\/ul>\n<h3><img loading=\"lazy\" class=\"alignnone wp-image-730844 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/cone.png\" alt=\"cone\" width=\"546\" height=\"422\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/cone.png 546w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/cone-300x232.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/cone-150x116.png 150w\" sizes=\"(max-width: 546px) 100vw, 546px\" \/><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"Faces_Edges_and_Vertices_of_Rectangular_Prism\"><\/span>Faces, Edges, and Vertices of Rectangular Prism<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>A Rectangular Prism is a three-dimensional shape with rectangular faces.<\/li>\n<li>It is similar to a cuboid but can have faces that are not squares.<\/li>\n<li>It has 6 faces (each face is a rectangle), 12 edges, and 8 vertices.<\/li>\n<\/ul>\n<h3><img loading=\"lazy\" class=\"alignnone wp-image-730843 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Faces-Edges-and-Vertices-of-Rectangular-Prism.png\" alt=\"Faces Edges and Vertices of Rectangular Prism\" width=\"502\" height=\"450\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Faces-Edges-and-Vertices-of-Rectangular-Prism.png 502w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Faces-Edges-and-Vertices-of-Rectangular-Prism-300x269.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Faces-Edges-and-Vertices-of-Rectangular-Prism-150x134.png 150w\" sizes=\"(max-width: 502px) 100vw, 502px\" \/><\/h3>\n<p>Also, check, the <i>difference between the Rectangular prism and Cuboid<\/i><\/p>\n<p style=\"text-align: center;\"><a title=\"HOTS 7\" href=\"https:\/\/infinitylearn.com\/online-courses-hots-class-7\" target=\"_blank\" rel=\"noopener\"><strong><button>Higher Order Thinking Skills for Class 7<\/button><\/strong><\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Faces_Edges_and_Vertices_of_Sphere\"><\/span>Faces, Edges, and Vertices of Sphere<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>A Sphere is a perfectly round three-dimensional shape.<\/li>\n<li>In a sphere, every point on the surface is equidistant from the center.<\/li>\n<li>The sphere neither has vertices nor edges.<\/li>\n<li>The sphere has 1 curved surface.<\/li>\n<\/ul>\n<h3><img loading=\"lazy\" class=\"alignnone wp-image-730842 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/sphere.png\" alt=\"sphere\" width=\"417\" height=\"288\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/sphere.png 417w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/sphere-300x207.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/sphere-150x104.png 150w\" sizes=\"(max-width: 417px) 100vw, 417px\" \/><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"Faces_Edges_and_Vertices_of_Cylinder\"><\/span>Faces, Edges, and Vertices of Cylinder<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>A Cylinder is a three-dimensional shape with two parallel circular bases connected by a curved surface.<\/li>\n<li>It has 3 faces, 2 edges (the circular edges of the bases), and 0 vertices.<\/li>\n<li>The 3 faces of the cylinder include 2 circular bases and 1 curved lateral surface.<\/li>\n<li>The cylinder has no such points where its edges meet.<\/li>\n<\/ul>\n<h3><img loading=\"lazy\" class=\"alignleft wp-image-730841 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Cylinder.png\" alt=\"Cylinder\" width=\"410\" height=\"316\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Cylinder.png 410w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Cylinder-300x231.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Cylinder-150x116.png 150w\" sizes=\"(max-width: 410px) 100vw, 410px\" \/><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"Faces_Edges_and_Vertices_of_Hexagonal_Pyramid\"><\/span>Faces, Edges, and Vertices of Hexagonal Pyramid<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>A Hexagonal Pyramid is a three-dimensional shape with a hexagonal base and triangular faces that converge at a single point (the apex).<\/li>\n<li>It has 7 faces (1 hexagonal base and 6 triangular faces), 12 edges, and 7 vertices (6 vertices on the hexagonal base and 1 at the apex).<\/li>\n<\/ul>\n<h3><img loading=\"lazy\" class=\"alignnone wp-image-730840 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Hexagonal-Pyramid.png\" alt=\"Hexagonal Pyramid\" width=\"428\" height=\"340\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Hexagonal-Pyramid.png 428w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Hexagonal-Pyramid-300x238.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Hexagonal-Pyramid-150x119.png 150w\" sizes=\"(max-width: 428px) 100vw, 428px\" \/><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"Faces_Edges_and_Vertices_of_Triangular_Pyramid_Tetrahedron\"><\/span>Faces, Edges and Vertices of Triangular Pyramid (Tetrahedron)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>A Triangular Pyramid, also known as a Tetrahedron, is a three-dimensional shape with a triangular base and three triangular faces that converge at a single point (the apex).<\/li>\n<li>It has 4 faces (all triangles), 6 edges, and 4 vertices.<\/li>\n<\/ul>\n<h3><img loading=\"lazy\" class=\"alignnone wp-image-730838 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Tetrahedron.png\" alt=\"Tetrahedron\" width=\"510\" height=\"283\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Tetrahedron.png 510w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Tetrahedron-300x166.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Tetrahedron-150x83.png 150w\" sizes=\"(max-width: 510px) 100vw, 510px\" \/><\/h3>\n<h2><span class=\"ez-toc-section\" id=\"FAQs_on_Faces_Edges_and_Vertices\"><\/span>FAQs on Faces, Edges and Vertices<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_are_vertices_faces_and_edges\"><\/span>What are vertices, faces, and edges?<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 face of an object is the flat surface on it. An edge is defined as a straight line between two faces whereas a vertex is the corner of the shape. Faces, Edges, and Vertices are the three principle properties that define any 3D solid. \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_Eulers_Formula\"><\/span>What is Euler\u2019s Formula?<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\tEuler's Formula is given by: F + V - E= 2, where, F, V, and E are the number of Faces, Vertices, and Edges respectively. \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_difference_between_2D_and_3D_Class_7\"><\/span>What is the difference between 2D and 3D Class 7?<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 main difference between 2D and 3D shapes is that 2D shapes have only length and width, while 3D shapes have length, width, and depth. 2D shapes are flat and can be drawn on paper using only the x and y axes, such as squares, circles, and triangles. In contrast, 3D shapes occupy space and can be held in your hand. They require the x, y, and z axes to be represented, and include objects like cubes, spheres, and pyramids. 3D shapes have faces, edges, and vertices, while 2D shapes are simply flat figures with sides and angles. Additionally, 3D shapes give an architectural view of an object, while 2D shapes provide a simple, flat representation\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_3D_shapes_class_7\"><\/span>What are 3D shapes class 7?<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\t3D shapes are solid, three-dimensional objects that have length, width, and depth. Some common examples of 3D shapes include: Cube: A cube has 6 square faces, 12 edges, and 8 vertices. Sphere: A sphere is a round, 3D shape like a ball. It has no edges or vertices. Cylinder: A cylinder has 2 circular bases and 1 curved surface, like a can. Pyramid: A pyramid has a polygon base and triangular faces that meet at a single vertex. 3D shapes can be found all around us in everyday objects. Understanding their properties and how they differ from 2D shapes is an important part of geometry.\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_vertices_Class_7\"><\/span>What is vertices Class 7?<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\tVertices are the corners or points where the edges of a 3D shape meet. For example, a cube has 8 vertices, one at each corner. Vertices are important features that help define the shape and structure of 3D objects.\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 are vertices, faces, and edges?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The face of an object is the flat surface on it. An edge is defined as a straight line between two faces whereas a vertex is the corner of the shape. Faces, Edges, and Vertices are the three principle properties that define any 3D solid.\"\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 Euler\u2019s Formula?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Euler's Formula is given by: F + V - E= 2, where, F, V, and E are the number of Faces, Vertices, and Edges respectively.\"\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 difference between 2D and 3D Class 7?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The main difference between 2D and 3D shapes is that 2D shapes have only length and width, while 3D shapes have length, width, and depth. 2D shapes are flat and can be drawn on paper using only the x and y axes, such as squares, circles, and triangles. In contrast, 3D shapes occupy space and can be held in your hand. They require the x, y, and z axes to be represented, and include objects like cubes, spheres, and pyramids. 3D shapes have faces, edges, and vertices, while 2D shapes are simply flat figures with sides and angles. Additionally, 3D shapes give an architectural view of an object, while 2D shapes provide a simple, flat representation\"\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 3D shapes class 7?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"3D shapes are solid, three-dimensional objects that have length, width, and depth. Some common examples of 3D shapes include: Cube: A cube has 6 square faces, 12 edges, and 8 vertices. Sphere: A sphere is a round, 3D shape like a ball. It has no edges or vertices. Cylinder: A cylinder has 2 circular bases and 1 curved surface, like a can. Pyramid: A pyramid has a polygon base and triangular faces that meet at a single vertex. 3D shapes can be found all around us in everyday objects. Understanding their properties and how they differ from 2D shapes is an important part of geometry.\"\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 vertices Class 7?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Vertices are the corners or points where the edges of a 3D shape meet. For example, a cube has 8 vertices, one at each corner. Vertices are important features that help define the shape and structure of 3D objects.\"\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","protected":false},"excerpt":{"rendered":"<p>Faces, Edges, and Vertices Faces, Edges, and Vertices are the three principal properties that define any 3D solid. The face [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Vertices Faces and Edges","_yoast_wpseo_title":"Faces, Edges And Vertices of 3D Shapes - Euler's Formula on Cube","_yoast_wpseo_metadesc":"Learn about the faces, edges, and vertices of 3D shapes with a focus on Euler's formula, using the cube as a key example. Perfect for academic understanding.","custom_permalink":"maths\/faces-edges-and-vertices\/"},"categories":[13],"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>Faces, Edges And Vertices of 3D Shapes - Euler&#039;s Formula on Cube<\/title>\n<meta name=\"description\" content=\"Learn about the faces, edges, and vertices of 3D shapes with a focus on Euler&#039;s formula, using the cube as a key example. 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