{"id":4478,"date":"2012-10-23T23:17:45","date_gmt":"2012-10-23T23:17:45","guid":{"rendered":"http:\/\/SchoolTutoring.com\/help\/?p=4478"},"modified":"2014-12-02T08:31:58","modified_gmt":"2014-12-02T08:31:58","slug":"geometry-identifying-the-cube","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/geometry-identifying-the-cube\/","title":{"rendered":"Geometry: Identifying the Cube"},"content":{"rendered":"<p>A cube is a 3-D closed figure formed by 6 square faces joined along their edges. Thus all the edges of a cube are equal in length. Also, the areas of all faces of cube are also same. The cube is also called a regular hexahedron.<\/p>\n<p><strong>Parts of a cube:<\/strong><\/p>\n<p><strong>Face: <\/strong>A cube is forms by 6 square each of which is called the face of the cube.<\/p>\n<p><strong>Edge:<\/strong> Each face of a cube is a square which has 4 sides each of which is called an edge.So there will be totally 12 edges in a cube.<\/p>\n<p><strong>Vertex: <\/strong>A point at which 3 edges meet is called the vertex of the cube. So, there will be 8 vertices in a cube.<\/p>\n<p><strong>Face diagonal: <\/strong>Face diagonal is a line segment joining the opposite corners of the face. Since there are 6 faces each with 2 diagonals, there are totally 6&#215;2 = 12 face diagonals.<\/p>\n<p><strong>Space diagonals: <\/strong>A space diagonal is a line segment which joins the opposite corners of the cube cutting the interior. So there are 4 space diagonals in a cube.<\/p>\n<p><a href=\"https:\/\/SchoolTutoring.com\/wp-content\/uploads\/sites\/2\/2012\/10\/cube1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4479\" title=\"cube1\" src=\"https:\/\/SchoolTutoring.com\/wp-content\/uploads\/sites\/2\/2012\/10\/cube1.jpg\" alt=\"\" width=\"305\" height=\"136\" srcset=\"https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2012\/10\/cube1.jpg 305w, https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2012\/10\/cube1-300x133.jpg 300w\" sizes=\"auto, (max-width: 305px) 100vw, 305px\" \/><\/a><\/p>\n<p><strong>Surface area of a cube:<\/strong><\/p>\n<p>The surface of the cube is contains 6 squares. So if <strong><em>a<\/em><\/strong> is the edge of each square then the area of each square is a<sup>2<\/sup>. So the surface area of the cube is 6 times the area of each of the square.<\/p>\n<p>So, <strong><em>surface area of the cube = 6a<sup>2<\/sup><\/em><\/strong>.<\/p>\n<p><strong>Volume of a cube:<\/strong><\/p>\n<p>The volume of a prism is nothing but the product of area of its base and its height. A cube is also a prism whose base is a square and height is same as the side length of the square.<\/p>\n<p>If <strong><em>a<\/em><\/strong> is the edge of each square then the area of each square is a<sup>2<\/sup>. So the area of the base is a<sup>2<\/sup>.<\/p>\n<p>So, <strong><em>volume of the cube = a<sup>2<\/sup> x a = a<sup>3<\/sup>.<\/em><\/strong><\/p>\n<p>Do you also need help with your Study Skills? Take a look at our <a href=\"https:\/\/schooltutoring.com\/test-prep-main\/\">Study Skills tutoring services.<\/a> <\/p>\n<p>SchoolTutoring Academy is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in Florida visit: <a href=\"https:\/\/schooltutoring.com\/Florida-Tutoring-Programs\/\">Tutoring in Florida. <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A cube is a 3-D closed figure formed by 6 square faces joined along their edges. Thus all the edges of a cube are equal in length. Also, the areas of all faces of cube are also same. The cube is also called a regular hexahedron. Parts of a cube: Face: A cube is forms [&hellip;]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[10],"tags":[438,490,559,640,1700,1713,1786,1940,1951],"class_list":["post-4478","post","type-post","status-publish","format-standard","hentry","category-geometry","tag-cube","tag-diagonal","tag-edje","tag-face","tag-space","tag-square","tag-surface","tag-vertex","tag-volume"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/4478","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=4478"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/4478\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=4478"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=4478"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=4478"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}