{"id":16864,"date":"2015-01-23T19:58:28","date_gmt":"2015-01-23T19:58:28","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=16864"},"modified":"2026-03-28T11:09:18","modified_gmt":"2026-03-28T16:09:18","slug":"3d-geometric-shapes","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/3d-geometric-shapes\/","title":{"rendered":"3D Geometric Shapes"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_vDkOr-aJMSc\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_vDkOr-aJMSc\" data-source-videoID=\"vDkOr-aJMSc\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"3D Geometric Shapes Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"3D Geometric Shapes\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_vDkOr-aJMSc:hover {cursor:pointer;} img#videoThumbnailImage_vDkOr-aJMSc {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/266-3d-geometric-shapes-1.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_vDkOr-aJMSc\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_vDkOr-aJMSc\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"3D Geometric Shapes\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_vDkOr-aJMSc\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_vDkOr-aJMSc\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_vDkOr-aJMSc\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction Sc3_Function() {\n  var x = document.getElementById(\"Sc3\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"Sc3_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"Sc3\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#What_is_a_3D_Shape\" class=\"smooth-scroll\">What is a 3D Shape?<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Properties_of_3D_Shapes\" class=\"smooth-scroll\">Properties of 3D Shapes<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#3D_Geometric_Shape_Practice_Questions\" class=\"smooth-scroll\">3D Geometric Shape Practice Questions<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hey guys! Welcome to this Mometrix video on 3D geometric shape identification.<\/p>\n<p>First, what we will do is take a look at what a 3D shape is, then we&#8217;ll look at the different properties of a 3D shape.<\/p>\n<h2><span id=\"What_is_a_3D_Shape\" class=\"m-toc-anchor\"><\/span>What is a 3D Shape?<\/h2>\n<p>\nLet\u2019s do a quick review. A 1D shape has a length. 2D only has length and a width.<\/p>\n<p>So, what is a 3D shape? Well, 3D stands for three-dimensional; those three different dimensions are: length, width, and depth (or height) for a polyhedron, and base, radius, and height for a curved three-dimensional shape.<\/p>\n<p>A <strong>polyhedron<\/strong> is a three-dimensional shape with all flat faces. A curved three-dimensional shape would be like a sphere, <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/volume-and-surface-area-of-a-right-circular-cone\/\">cone<\/a>, or cylinder.<\/p>\n<p>In this video, we will focus on polyhedrons.<\/p>\n<ul style=\"list-style-type: none;\">\n<li><strong>Length<\/strong> refers to the measurement of something from one end of a segment, all the way to the other.<\/li>\n<li><strong>Width<\/strong> refers to the measurement of something from one side of a segment, to the other side.<\/li>\n<li><strong>Depth<\/strong> (or height) refers to the distance from the top of a segment to the bottom.<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/01\/whl@300.webp\" alt=\"\" width=\"\" height=\"\" class=\"aligncenter size-full wp-image-215971\"  role=\"img\" \/><\/p>\n<h2><span id=\"Properties_of_3D_Shapes\" class=\"m-toc-anchor\"><\/span>Properties of 3D Shapes<\/h2>\n<p>\nNow, let\u2019s talk about the properties of a three-dimensional shape. Three-dimensional polyhedrons have faces, edges, and vertices.<\/p>\n<p>A <strong>face<\/strong> refers to the surface of a three-dimensional shape. For instance, a cube has 6 faces. <strong>Edge<\/strong> refers to the where two faces connect. A cube has twelve edges.<\/p>\n<p>A <strong>vertex<\/strong> (or vertices when you are referring to more than one) are the corners, or where the edges come together. A cube has 8 vertices.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/01\/rect-prism-4@300-scaled.webp\" alt=\"\" width=\"\" height=\"\" class=\"aligncenter size-full wp-image-215971\"  role=\"img\" \/><\/p>\n<p>Understanding 3D shapes and their properties are very important, and will help you to do much more, like calculate <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/how-to-find-the-volume-of-3d-objects\/\">volume<\/a>.<\/p>\n<p>I hope that this video over 3D geometric shape identification has been helpful.<\/p>\n<p>See you guys next time!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"3D_Geometric_Shape_Practice_Questions\" class=\"m-toc-anchor\"><\/span>3D Geometric Shape Practice Questions<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich of the following is not a property of a three-dimensional shape?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">Number of vertices<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-2\">Number of angles<\/div><div class=\"PQ\"  id=\"PQ-1-3\">Number of faces<\/div><div class=\"PQ\"  id=\"PQ-1-4\">Number of edges<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The three properties of a three-dimensional shape are the numbers of faces, edges, and vertices. Remember, the number of faces describes how many sides the shape has. The number of edges represents the amount of places where two faces meet (like a corner). The number of vertices describes how many locations on the shape are points where corners of faces touch.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nHow many faces does the diamond shown below have?<\/p>\n<p style=\"text-align:center;\">\n<img loading=\"lazy\" decoding=\"async\" class=\" wp-image-70826 alignnone\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagram-of-a-diamond.png\" alt=\"Diagram of a diamond\" width=\"223\" height=\"201\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagram-of-a-diamond.png 838w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagram-of-a-diamond-300x271.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagram-of-a-diamond-768x693.png 768w\" sizes=\"auto, (max-width: 223px) 100vw, 223px\" \/><\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">8 faces<\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-2\">9 faces<\/div><div class=\"PQ\"  id=\"PQ-2-3\">10 faces<\/div><div class=\"PQ\"  id=\"PQ-2-4\">11 faces<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The diamond shown has 9 faces; one on the very top, then four around it on the upper portion of the diamond, and four more composing the base.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nHow many edges does the square pyramid shown below have?<\/p>\n<p style=\"text-align:center;\">\n<img loading=\"lazy\" decoding=\"async\" class=\" wp-image-70829 alignnone\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagram-of-a-square-pyramid.png\" alt=\"Diagram of a square pyramid\" width=\"221\" height=\"194\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagram-of-a-square-pyramid.png 859w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagram-of-a-square-pyramid-300x264.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagram-of-a-square-pyramid-768x675.png 768w\" sizes=\"auto, (max-width: 221px) 100vw, 221px\" \/><\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">5 edges<\/div><div class=\"PQ\"  id=\"PQ-3-2\">6 edges<\/div><div class=\"PQ\"  id=\"PQ-3-3\">7 edges<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-4\">8 edges<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>Square pyramids have 8 edges; four of them outline the square base, while the other four point to and meet at the top.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nObserve the following image of a triangular prism. How many vertices does it have?<\/p>\n<p style=\"text-align:center;\">\n<img loading=\"lazy\" decoding=\"async\" class=\" wp-image-70835 alignnone\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagram-of-a-triangular-prism.png\" alt=\"Diagram of a triangular prism\" width=\"240\" height=\"197\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagram-of-a-triangular-prism.png 801w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagram-of-a-triangular-prism-300x246.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagram-of-a-triangular-prism-768x629.png 768w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">3<\/div><div class=\"PQ\"  id=\"PQ-4-2\">5<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-3\">6<\/div><div class=\"PQ\"  id=\"PQ-4-4\">9<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>Triangular prisms have six vertices, the points where the edges come together. Three are located at each end, on the points of the triangles forming either end of the prism.<\/p>\n<p style=\"text-align:center;\">\n<img loading=\"lazy\" decoding=\"async\" class=\" wp-image-70832 alignnone\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagram-of-a-triangular-prism-with-the-6-vertices-marked.png\" alt=\"Diagram of a triangular prism with the 6 vertices marked\" width=\"251\" height=\"204\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagram-of-a-triangular-prism-with-the-6-vertices-marked.png 818w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagram-of-a-triangular-prism-with-the-6-vertices-marked-300x244.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagram-of-a-triangular-prism-with-the-6-vertices-marked-768x624.png 768w\" sizes=\"auto, (max-width: 251px) 100vw, 251px\" \/><\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>Shawn has an 8-sided die for a game he plays with his friends. How many edges does the die have?<\/p>\n<p style=\"text-align:center;\">\n<img loading=\"lazy\" decoding=\"async\" class=\" wp-image-70838 alignnone\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Image-of-an-eight-sided-die.png\" alt=\"Image of an eight-sided die\" width=\"212\" height=\"215\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Image-of-an-eight-sided-die.png 645w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Image-of-an-eight-sided-die-295x300.png 295w\" sizes=\"auto, (max-width: 212px) 100vw, 212px\" \/><\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">8 edges<\/div><div class=\"PQ\"  id=\"PQ-5-2\">10 edges<\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-3\">12 edges<\/div><div class=\"PQ\"  id=\"PQ-5-4\">14 edges<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>An 8-sided die has the shape of what we call an octahedron, which has twelve edges. The top \u201cpyramid\u201d has four edges that meet at the top point, the bottom \u201cpyramid\u201d has another four edges that meet at the bottom point, and the middle where they meet has another four edges that form a square shape connecting the top and bottom halves.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/geometry\/\">Return to Geometry Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Geometry Videos<\/p>\n","protected":false},"author":1,"featured_media":91405,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-16864","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-math-advertising-group","7":"page_category-shape-videos","8":"page_type-video","9":"content_type-practice-questions","10":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/16864","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=16864"}],"version-history":[{"count":5,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/16864\/revisions"}],"predecessor-version":[{"id":280826,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/16864\/revisions\/280826"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/91405"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=16864"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}