{"id":1735,"date":"2022-04-22T08:14:29","date_gmt":"2022-04-22T08:14:29","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1735"},"modified":"2023-07-23T06:37:10","modified_gmt":"2023-07-23T06:37:10","slug":"polyhedron-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polyhedron","title":{"rendered":"Polyhedron &#8211; Definition, Examples, Practice Problems, FAQs"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-acd7621c-c163-474e-8d0c-c279fa3f5811\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polyhedron#0-what-is-a-polyhedron>What is a Polyhedron?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polyhedron#1-polyhedron-definition>Polyhedron Definition<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polyhedron#4-examples-in-real-life>Examples in Real Life<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polyhedron#7-solved-examples-on-polyhedron>Solved Examples on Polyhedron<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polyhedron#8-practice-problems-on-polyhedron>Practice Problems on Polyhedron<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polyhedron#9-frequently-asked-questions-on-polyhedron>Frequently Asked Questions on Polyhedron<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-polyhedron\">What is a Polyhedron?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>We know that a polygon is a flat, plane, two-dimensional closed shape bounded by line segments. Common examples of polygons are square, triangle, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pentagon\" title=\"\">pentagon<\/a>, etc.\u00a0<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Now, can you imagine a three dimensional figure with faces in the shape of a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon\" title=\"\">polygon<\/a>? Such a three-dimensional figure is known as a Polyhedron. Examples you must be familiar with are diamonds, rubik&#8217;s cube, pyramids, etc.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-polyhedron-definition\">Polyhedron Definition<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>A three-dimensional shape with flat polygonal faces, straight edges, and sharp corners or vertices is called a polyhedron.\u00a0<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Common examples are cubes, prisms, pyramids. However, cones, and spheres are not polyhedrons since they do not have polygonal faces.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The plural of a polyhedron is called polyhedra or polyhedrons.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"422\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-1.png\" alt=\"Polyhedron examples\" class=\"wp-image-13413\" title=\"Polyhedron examples\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-1-300x204.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-faces-edges-and-vertices\">Faces, Edges, and Vertices<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The parts of a polyhedron are classified as faces, edges, and vertices.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Polyhedron Faces:<\/strong> The flat surfaces of a polyhedron are termed as its faces, which are basically polygons.<\/li>\n\n\n\n<li class=\"eplus-wrapper\"><strong>Polyhedron Edges: <\/strong>Edges are the line segments where two faces meet.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\"><strong>Polyhedron Vertices:<\/strong> The point of intersection of two edges is known as a vertex.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The figure given below will give us a better view:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"433\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-2.png\" alt=\"Polyhedron faces, edges, and vertices\" class=\"wp-image-13414\" title=\"Polyhedron faces, edges, and vertices\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-2.png 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-2-300x210.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-prisms-pyramids-and-platonic-solids\">Prisms, Pyramids, and Platonic Solids<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Polyhedrons can be broadly classified as prisms, pyramids, and Platonic solids. Let\u2019s understand each type.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"412\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-3.png\" alt=\"Prism, pyramids, and platonic solids\" class=\"wp-image-13415\" title=\"Prism, pyramids, and platonic solids\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-3-300x199.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>1. Prism<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/prism\" title=\"\">prism<\/a> has its both ends (base and top) as identical polygons and its side faces are flat (<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangle\" title=\"\">rectangles<\/a> or <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallelogram\" title=\"\">parallelograms<\/a>). Prisms are named after its base, which can be a triangle, square, rectangle, or any n-sided polygon.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"561\" height=\"1024\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-4-561x1024.png\" alt=\"Different types of prism\" class=\"wp-image-13416\" title=\"Different types of prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-4-561x1024.png 561w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-4-164x300.png 164w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-4.png 620w\" sizes=\"auto, (max-width: 561px) 100vw, 561px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>2. Pyramid<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pyramid\" title=\"\">pyramid<\/a> has its base as any polygon and its side faces are triangles with a common vertex (known as apex). If the base of a pyramid is an n-sided polygon, then it has (n+1) faces, (n+1) vertices, and 2n edges.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"390\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-5.png\" alt=\"Different types of pyramids\" class=\"wp-image-13417\" title=\"Different types of pyramids\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-5-300x189.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>3. Platonic Solids<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In Platonic solids, all the faces are congruent regular polygons and the same number of faces meet at each vertex.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"593\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-6.png\" alt=\"Examples of Platonic solids\" class=\"wp-image-13418\" title=\"Examples of Platonic solids\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-6-300x287.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-examples-in-real-life\">Examples in Real Life<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We can observe several polyhedra in our daily existence such as a Rubik\u2019s cube, dice, buckyball, pyramids, and so on. A diamond is one of the real-life examples of polyhedron.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"315\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-7.png\" alt=\"Real-life examples of polyhedrons\" class=\"wp-image-13419\" title=\"Real-life examples of polyhedrons\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-7.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-7-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-types-of-polyhedron\">Types of Polyhedron<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Polyhedra are mainly divided into two types based on the polygonal faces and the base \u200b\u200b\u2014 regular polyhedrons and irregular polyhedrons. Platonic solids are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/regular-polygon\" title=\"\">regular polygons<\/a>. Prisms and pyramids are irregular polyhedrons.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"521\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-8.png\" alt=\"Regular and irregular polyhedron\" class=\"wp-image-13420\" title=\"Regular and irregular polyhedron\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-8.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-8-300x252.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Regular Polyhedron<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Regular polyhedrons are made up of regular polygons. They are also known as \u201cPlatonic solids.\u201d They have all their faces, edges, and angles congruent. The following is the list of the five regular polyhedrons:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"830\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-9.png\" alt=\"Regular polyhedron examples\" class=\"wp-image-13421\" title=\"Regular polyhedron examples\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-9.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-9-224x300.png 224w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Irregular Polyhedron<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">An irregular polyhedron has polygonal faces that are not congruent to each other. It is made up of polygons having different shapes. So, all its components are not the same.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"433\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-10.png\" alt=\"Examples of irregular polyhedrons\" class=\"wp-image-13422\" title=\"Examples of irregular polyhedrons\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-10.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-10-300x210.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Polyhedrons can also be divided into convex and concave categories, just like polygons.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Convex Polyhedron<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A convex polyhedron is similar to a convex polygon. If a line segment that joins any two points on the surface lies inside the polyhedron, then it is known as a convex polyhedron. All platonic solids are convex.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"450\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-11.png\" alt=\"Convex polyhedron\" class=\"wp-image-13423\" title=\"Convex polyhedron\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-11.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-11-300x218.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Concave Polyhedron<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A concave polyhedron is similar to a concave polygon. If a line segment that joins any two points on the surface lies outside the polyhedron, it is known as a concave polyhedron.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"420\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-12.png\" alt=\"Concave polyhedron\" class=\"wp-image-13424\" title=\"Concave polyhedron\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-12.png 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Polyhedron-12-300x204.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-euler%E2%80%99s-formula\">Euler\u2019s Formula<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">There is a relationship between the number of faces, edges, and vertices in a polyhedron, which can be presented by a math formula known as \u201cEuler&#8217;s Formula.\u201d<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\text{F} + \\text{V}$ $\u2013$ $\\text{E} = 2$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">where,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\text{F} =$ number of faces&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\text{V} =$ number of vertices&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\text{E} =$ number of edges&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">If we know any two values among F, V, or E, we can find the third missing value using Euler&#8217;s formula. So, the questions like \u2018How many edges does a polyhedron have?\u2019 or \u2018How many faces does a polyhedron have?\u2019 can be answered easily if the other two values are known. We can also check if a polyhedron with the given number of parts exists or not.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example, a cube has 8 vertices, 6 faces, and 12 edges.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\text{F} = 6, \\text{V} = 8, \\text{E} = 12$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Applying Euler&#8217;s formula, we get $\\text{F} + \\text{V}$ $\u2013$ $\\text{E} = 2$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Substituting the values in the formula: $6 + 8$ $\u2013$ $12 = 2 \\Rightarrow 2 = 2$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, the cube is a polyhedron.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-solved-examples-on-polyhedron\">Solved Examples on Polyhedron<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>1. How many types of regular polygons are there?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution<\/strong>: There are 5 types of regular polygons: tetrahedron, cube, octahedron, dodecahedron, and icosahedron.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>2. Check if the polyhedron with 10 vertices, 8 edges, and 4 faces exists or not.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution<\/strong>: We will apply Euler&#8217;s formula:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\text{V} = 10, \\text{E} = 8$, and $\\text{F} = 4$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\text{F} + \\text{V}$ $\u2013$ $\\text{E}&nbsp; = 4 + 10$ $\u2013$ $8 = 6 \u2260 2$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The polyhedron with the given dimensions does not exist.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>3. <\/strong><strong>How many faces does a polyhedron with 12 vertices and 18 edges have?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution<\/strong>: $\\text{V} = 12$, $\\text{E} = 18$, and $\\text{F} =$ ?<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">By applying Euler\u2019s formula, we get<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">&nbsp;$\\text{F} + \\text{V}$ $\u2013$ $\\text{E} = 2$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\Rightarrow\\text{F} + 12$ $\u2013$ $18 = 2$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">$\\Rightarrow\\text{F} = 8$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Number of faces = 8<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-practice-problems-on-polyhedron\">Practice Problems on Polyhedron<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Polyhedron - Definition With Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following is not a polyhedron?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Cube<\/div><div class=\"spq_answer_block\" data-value=\"1\">Cone<\/div><div class=\"spq_answer_block\" data-value=\"2\">Cuboid<\/div><div class=\"spq_answer_block\" data-value=\"3\">Triangular Prism<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Cone<br\/>Cone is not a polyhedron as the faces of the cone are curved.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which of the following is a concave polyhedron?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Practice-Problems-1-3.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">A<\/div><div class=\"spq_answer_block\" data-value=\"1\">B<\/div><div class=\"spq_answer_block\" data-value=\"2\">C<\/div><div class=\"spq_answer_block\" data-value=\"3\">D<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: A<br\/>If we draw a line from one face to another, the line will lie outside the polyhedron.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Which of the following combinations will not form a polyhedron?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\text{F} = 4, \\text{V} = 10, \\text{E} = 12$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\text{F} = 8, \\text{V} = 12, \\text{E} = 18$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\text{F} = 7, \\text{V} = 13, \\text{E} = 15$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\text{F} = 9. \\text{V} = 15, \\text{E} = 22$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\text{F} = 7, \\text{V} = 13, \\text{E} = 15$<br\/>$\\text{F} + \\text{V}$ $\u2013$ $\\text{E}  = 7 + 13 \u2013 15 = 5 \u2260 2$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Which of the following is not a regular polyhedron?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Cube<\/div><div class=\"spq_answer_block\" data-value=\"1\">Tetrahedron<\/div><div class=\"spq_answer_block\" data-value=\"2\">Both A and B<\/div><div class=\"spq_answer_block\" data-value=\"3\">Hexagonal pyramid<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Hexagonal pyramid<br\/>The Hexagonal pyramid does not have all the faces congruent to each other. So, it is not regular.<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Practice-Problems-2-3.png\"><\/div><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Polyhedron - Definition With Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Polyhedron - Definition With Examples\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is not a polyhedron?\",\n                    \"text\": \"Which of the following is not a polyhedron?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Cone is not a polyhedron as the faces of the cone are curved.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Cube\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Cone is not a polyhedron as the faces of the cone are curved.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Cuboid\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Cone is not a polyhedron as the faces of the cone are curved.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Triangular Prism\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Cone is not a polyhedron as the faces of the cone are curved.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Cone\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Cone is not a polyhedron as the faces of the cone are curved.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Cone is not a polyhedron as the faces of the cone are curved.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is a concave polyhedron?\",\n                    \"text\": \"Which of the following is a concave polyhedron? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Practice-Problems-1-3.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"If we draw a line from one face to another, the line will lie outside the polyhedron.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"B\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If we draw a line from one face to another, the line will lie outside the polyhedron.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"C\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If we draw a line from one face to another, the line will lie outside the polyhedron.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"D\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"If we draw a line from one face to another, the line will lie outside the polyhedron.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"A\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"If we draw a line from one face to another, the line will lie outside the polyhedron.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"If we draw a line from one face to another, the line will lie outside the polyhedron.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following combinations will not form a polyhedron?\",\n                    \"text\": \"Which of the following combinations will not form a polyhedron?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$\\\\text{F} + \\\\text{V}$$ $$\u2013$$ $$\\\\text{E}  = 7 + 13 \u2013 15 = 5 \u2260 2$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\text{F} = 4, \\\\text{V} = 10, \\\\text{E} = 12$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\text{F} + \\\\text{V}$$ $$\u2013$$ $$\\\\text{E}  = 7 + 13 \u2013 15 = 5 \u2260 2$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\text{F} = 8, \\\\text{V} = 12, \\\\text{E} = 18$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\text{F} + \\\\text{V}$$ $$\u2013$$ $$\\\\text{E}  = 7 + 13 \u2013 15 = 5 \u2260 2$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\text{F} = 9. \\\\text{V} = 15, \\\\text{E} = 22$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\\\\text{F} + \\\\text{V}$$ $$\u2013$$ $$\\\\text{E}  = 7 + 13 \u2013 15 = 5 \u2260 2$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\text{F} = 7, \\\\text{V} = 13, \\\\text{E} = 15$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$\\\\text{F} + \\\\text{V}$$ $$\u2013$$ $$\\\\text{E}  = 7 + 13 \u2013 15 = 5 \u2260 2$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\\\\text{F} + \\\\text{V}$$ $$\u2013$$ $$\\\\text{E}  = 7 + 13 \u2013 15 = 5 \u2260 2$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is not a regular polyhedron?\",\n                    \"text\": \"Which of the following is not a regular polyhedron?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The Hexagonal pyramid does not have all the faces congruent to each other. So, it is not regular.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Cube\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The Hexagonal pyramid does not have all the faces congruent to each other. So, it is not regular.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Tetrahedron\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The Hexagonal pyramid does not have all the faces congruent to each other. So, it is not regular.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Both A and B\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The Hexagonal pyramid does not have all the faces congruent to each other. So, it is not regular.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Hexagonal pyramid\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The Hexagonal pyramid does not have all the faces congruent to each other. So, it is not regular. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Practice-Problems-2-3.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The Hexagonal pyramid does not have all the faces congruent to each other. So, it is not regular. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/11\/Practice-Problems-2-3.png\\\"\/>\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-frequently-asked-questions-on-polyhedron\">Frequently Asked Questions on Polyhedron<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-fd1576f4-ed08-4b54-b95a-9b7aea62712b\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-fd1576f4-ed08-4b54-b95a-9b7aea62712b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fd1576f4-ed08-4b54-b95a-9b7aea62712b\"><strong>What is the difference between a polygon and a polyhedron?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-fd1576f4-ed08-4b54-b95a-9b7aea62712b\">\n\n<p class=\"wp-block-paragraph\">A polygon is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/2-dimensional\" title=\"\">two-dimensional figure<\/a>, which is made up of <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/line-segment\" title=\"\">line segments<\/a>. For example, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/square\" title=\"\">square<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/triangle\" title=\"\">triangle<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/hexagon\" title=\"\">hexagon<\/a>, etc.\u00a0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">On the other hand, a polyhedron is a three-dimensional figure that is made up of polygons. For example, tetrahedron, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/cube\" title=\"\">cube<\/a>, etc.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-fd1576f4-ed08-4b54-b95a-9b7aea62712b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fd1576f4-ed08-4b54-b95a-9b7aea62712b\"><strong>Is a cylinder a polyhedron?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-fd1576f4-ed08-4b54-b95a-9b7aea62712b\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">No, the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/cylinder\" title=\"\">cylinder<\/a> is not a polyhedron as the faces of the cylinder are curved.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-fd1576f4-ed08-4b54-b95a-9b7aea62712b\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-fd1576f4-ed08-4b54-b95a-9b7aea62712b\"><strong>What is the difference between a pyramid and a prism?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-fd1576f4-ed08-4b54-b95a-9b7aea62712b\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Both a prism and a pyramid are three dimensional solids that have flat faces and bases. The main difference is that a prism has its two bases (top and bottom) identical whereas a pyramid has only one base.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What is a Polyhedron? We know that a polygon is a flat, plane, two-dimensional closed shape bounded by line segments. Common examples of polygons are square, triangle, pentagon, etc.\u00a0 Now, can you imagine a three dimensional figure with faces in the shape of a polygon? Such a three-dimensional figure is known as a Polyhedron. Examples &#8230; <a title=\"Polyhedron &#8211; Definition, Examples, Practice Problems, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polyhedron\" aria-label=\"More on Polyhedron &#8211; Definition, Examples, Practice Problems, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1735","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1735","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=1735"}],"version-history":[{"count":25,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1735\/revisions"}],"predecessor-version":[{"id":32185,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1735\/revisions\/32185"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1735"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1735"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1735"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}