{"id":1646,"date":"2022-04-21T09:53:12","date_gmt":"2022-04-21T09:53:12","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1646"},"modified":"2024-02-18T15:59:16","modified_gmt":"2024-02-18T15:59:16","slug":"pentagonal-pyramid-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pentagonal-pyramid","title":{"rendered":"Pentagonal Pyramid &#8211; Definition with Examples"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 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-9d6595d7 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-9d6595d7 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-74154899-3761-478a-a6a9-d25cf89fbd1e\" 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\/pentagonal-pyramid#0-what-is-a-pyramid>What Is a Pyramid?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pentagonal-pyramid#1-what-is-a-pentagonal-pyramid>What is a Pentagonal Pyramid?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pentagonal-pyramid#2-what-are-the-properties-of-a-pentagonal-pyramid>What Are the Properties of a Pentagonal Pyramid?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pentagonal-pyramid#5-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pentagonal-pyramid#6-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pentagonal-pyramid#7-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<p class=\"eplus-wrapper\">What is one of the first things that come to mind when you think of Egypt? The most likely answer to this question would perhaps be the Great Pyramid of Giza.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"337\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/the-great-pyramid-of-giza.png\" alt=\"The great pyramid of giza\" class=\"wp-image-40085\" title=\"The great pyramid of giza\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/the-great-pyramid-of-giza.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/the-great-pyramid-of-giza-300x163.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Looks like a three-dimensional triangle, doesn&#8217;t it?<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-pyramid\">What Is a Pyramid?<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"420\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/square-pyramid.png\" alt=\"Square pyramid\" class=\"wp-image-40086\" title=\"Square pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/square-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/square-pyramid-300x203.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Well, a pyramid is a three-dimensional shape. It has a polygon at the base. It also has sloping sides that meet at a point at the top. The Great Pyramid of Giza that we just spoke about has been constructed using the same concept.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Pyramids come in different types. And what is it that makes them different from one another? It is their base. Different types of pyramids are named after the shape of their bases. For example, a pyramid with a triangle for a base is called a <em>triangular pyramid.&nbsp;<\/em><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"452\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/different-types-of-pyramids.png\" alt=\"\" class=\"wp-image-40087\" title=\"Different types of pyramids\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/different-types-of-pyramids.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/different-types-of-pyramids-300x219.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-what-is-a-pentagonal-pyramid\">What is a Pentagonal Pyramid?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Like all pyramids, a pentagonal pyramid is a three-dimensional shape. It has its base as a pentagon. You already know that a pentagon is a polygon with five sides. In geometry, a pentagonal pyramid is a pyramid with a pentagon as a base upon which five triangles have raised that meet at a point.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"467\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/pentagonal-pyramid.png\" alt=\"\" class=\"wp-image-40088\" title=\"Pentagonal pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/pentagonal-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/pentagonal-pyramid-300x226.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/complete-the-number-pyramid\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/complete-the-number-pyramid.jpeg\" alt=\"Complete the Number Pyramid Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/fill-the-number-pyramid\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/fill-the-number-pyramid.jpeg\" alt=\"Fill the Number Pyramid Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/subtract-to-complete-the-number-pyramid\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/subtract-to-complete-the-number-pyramid.jpeg\" alt=\"Subtract to Complete the Number Pyramid Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-what-are-the-properties-of-a-pentagonal-pyramid\">What Are the Properties of a Pentagonal Pyramid?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Now, the general properties of a pyramid apply to a pentagonal pyramid as well. But it doesn&#8217;t stop there. Since it has a unique pentagonal base, certain additional properties also come into play. Let us find out some fun things about the properties of a pentagonal pyramid:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">It has 6 faces. It has 5 triangles as lateral sides. It also has a pentagon at the base. (So, $5 +1 = 6$ faces in all)<\/li>\n\n\n\n<li class=\"eplus-wrapper\">It has 6 vertices.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">It also has 10 edges.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"682\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/properties-of-pentagonal-pyramid.png\" alt=\"Properties of pentagonal pyramid\" class=\"wp-image-40089\" title=\"Properties of pentagonal pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/properties-of-pentagonal-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/properties-of-pentagonal-pyramid-273x300.png 273w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"671\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/net-of-pentagonal-pyramid.png\" alt=\"Net of pentagonal pyramid\" class=\"wp-image-40090\" title=\"Net of pentagonal pyramid\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/net-of-pentagonal-pyramid.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/net-of-pentagonal-pyramid-277x300.png 277w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-how-do-we-calculate-the-surface-area-of-a-pentagonal-pyramid\">How Do We Calculate the Surface Area of a Pentagonal Pyramid?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Let&#8217;s figure out how to calculate the surface area of a pentagonal pyramid. The surface area of a pentagonal pyramid is a measure of all its faces. We have already learned that a pentagonal pyramid has 6 faces. Now, we need to get three elements. They are its apothem (<em>a<\/em>), its base length (<em>b<\/em>), and slant height (<em>s<\/em>).<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The new term here is the apothem, let us try and understand it. An apothem is a perpendicular<strong> <\/strong>(90 degrees)<strong> <\/strong>line from the center of a regular polygon to one of the sides.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"493\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/apothem-of-a-regular-pentagon.png\" alt=\"Apothem of a regular pentagon\" class=\"wp-image-40091\" title=\"Apothem of a regular pentagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/apothem-of-a-regular-pentagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/apothem-of-a-regular-pentagon-300x239.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Now that we have understood all three elements, let us learn the formula.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Total surface area of a regular pentagonal pyramid <\/strong>$= 5\/2 \\times b (a + s)$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-how-do-we-calculate-the-volume-of-a-pentagonal-pyramid-\"><strong>How Do We Calculate the Volume of a Pentagonal Pyramid?<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Now that we know how the surface area of a pentagonal pyramid is calculated, it makes calculating its volume much simpler. You see, the formula uses pretty much the same elements. Once again we have the apothem (<em>a<\/em>), base length (<em>b<\/em>), and height (<em>h<\/em>). The formula goes like this:<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>The volume of a regular pentagonal pyramid = (5\/6) <\/strong><strong><em>abh<\/em><\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example<\/strong> <strong>1: Which of the following shapes can be the base of a pyramid?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"595\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/circle-square-triangle-rectangle.png\" alt=\"Circle, square, triangle, rectangle\" class=\"wp-image-40092\" title=\"Circle, square, triangle, rectangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/circle-square-triangle-rectangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/02\/circle-square-triangle-rectangle-300x288.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The only base of the pyramid is a polygon (no circles or ovals). So, the triangle, rectangle, and square can be the base of a pyramid.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2: A pentagonal pyramid has a base length of 8 inches. Its slant height is 10 inches and its apothem length is 6 inches. Calculate its surface area.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">In the pentagonal pyramid, the base length is 8 inches, the slant height is 10 inches, and the apothem length is 6 inches.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, <em>b<\/em> = 8 inches, <em>s<\/em> = 10 inches and <em>a<\/em> = 6 inches<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Formula to calculate the surface area of a pentagonal pyramid $= 5\/2 \\times b(a + s)$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Substituting the values in the formula, we get<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$5\/2 \\times 8 (10 + 6 )$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 5\/2 \\times 8 \\times 16$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 320$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the surface area of this pentagonal pyramid is 320 square inches.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 3: Find the volume of a pentagonal pyramid with an apothem of 5 cm, a base length of 9 cm, and a height of 12 cm.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">In the pentagonal pyramid, the base length is 9 cm, the height is 12 cm, and the apothem length is 5 cm.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, $b = 9 cm , h = 12 cm$ and $a = 5 cm$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Formula to calculate the volume of a pentagonal pyramid = (5\/6) <em>abh<\/em><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Substituting the values in the formula, we get<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$5\/6 \\times 5 \\times 9 \\times 12$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the volume of this pentagonal pyramid is 450 cm\u00b3.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Pentagonal Pyramid - Definition with Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following is an incorrect statement about a pentagonal pyramid?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">It has 6 faces.<\/div><div class=\"spq_answer_block\" data-value=\"1\">It has a pentagon at the base.<\/div><div class=\"spq_answer_block\" data-value=\"2\">It has 6 vertices.<\/div><div class=\"spq_answer_block\" data-value=\"3\">It has 5 edges.<\/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: It has 5 edges.<br\/>A pentagonal pyramid has 10 edges.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">How many sides does the base of a pentagonal pyramid have?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">4 sides<\/div><div class=\"spq_answer_block\" data-value=\"1\">5 sides<\/div><div class=\"spq_answer_block\" data-value=\"2\">6 sides<\/div><div class=\"spq_answer_block\" data-value=\"3\">7 sides<\/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: 5 sides<br\/>The pentagonal pyramid has a pentagon for its base. A pentagon is a polygon made up of five sides.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Identify the pentagonal pyramid from the shapes given below:<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/pp3-1.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">Figure A<\/div><div class=\"spq_answer_block\" data-value=\"1\">Figure B<\/div><div class=\"spq_answer_block\" data-value=\"2\">Figure C<\/div><div class=\"spq_answer_block\" data-value=\"3\">Figure 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: Figure D<br\/>In the image in option D, the pyramid has a pentagon for a base, making it a pentagonal pyramid.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">How many faces does a pentagonal pyramid have?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">6 faces<\/div><div class=\"spq_answer_block\" data-value=\"1\">5 faces<\/div><div class=\"spq_answer_block\" data-value=\"2\">8 faces<\/div><div class=\"spq_answer_block\" data-value=\"3\">7 faces<\/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: 6 faces<br\/>A pentagonal pyramid has 6 faces. It has 5 triangles as lateral sides. It also has a pentagon at the base. (So, $5 +1 = 6$ faces in all)<\/span><\/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\": \"Pentagonal Pyramid - Definition with Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Pentagonal Pyramid\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is an incorrect statement about a pentagonal pyramid?\",\n                    \"text\": \"Which of the following is an incorrect statement about a pentagonal pyramid?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A pentagonal pyramid has 10 edges.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"It has 6 faces.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A pentagonal pyramid has 10 edges.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"It has a pentagon at the base.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A pentagonal pyramid has 10 edges.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"It has 6 vertices.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A pentagonal pyramid has 10 edges.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"It has 5 edges.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A pentagonal pyramid has 10 edges.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A pentagonal pyramid has 10 edges.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"How many sides does the base of a pentagonal pyramid have?\",\n                    \"text\": \"How many sides does the base of a pentagonal pyramid have?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The pentagonal pyramid has a pentagon for its base. 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A pentagon is a polygon made up of five sides.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Identify the pentagonal pyramid from the shapes given below:\",\n                    \"text\": \"Identify the pentagonal pyramid from the shapes given below: <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/pp3-1.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"In the image in option D, the pyramid has a pentagon for a base, making it a pentagonal pyramid.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Figure A\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In the image in option D, the pyramid has a pentagon for a base, making it a pentagonal pyramid.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Figure B\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In the image in option D, the pyramid has a pentagon for a base, making it a pentagonal pyramid.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Figure C\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In the image in option D, the pyramid has a pentagon for a base, making it a pentagonal pyramid.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Figure D\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"In the image in option D, the pyramid has a pentagon for a base, making it a pentagonal pyramid.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"In the image in option D, the pyramid has a pentagon for a base, making it a pentagonal pyramid.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"How many faces does a pentagonal pyramid have?\",\n                    \"text\": \"How many faces does a pentagonal pyramid have?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A pentagonal pyramid has 6 faces. 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(So, $$5 +1 = 6$$ faces in all)\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-2cb4f929-8055-492f-9b92-dcc1749b9f95\" 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-0-2cb4f929-8055-492f-9b92-dcc1749b9f95\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2cb4f929-8055-492f-9b92-dcc1749b9f95\"><strong>What is the shape of the base of a pentagonal pyramid?<\/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-0-2cb4f929-8055-492f-9b92-dcc1749b9f95\">\n\n<p>As the name suggests, the base of a pentagonal pyramid is shaped like a pentagon. A pentagon is a five-sided polygon.<\/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-1-2cb4f929-8055-492f-9b92-dcc1749b9f95\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2cb4f929-8055-492f-9b92-dcc1749b9f95\"><strong>How many triangular faces can be found on a pentagonal pyramid?<\/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-1-2cb4f929-8055-492f-9b92-dcc1749b9f95\">\n\n<p>A total of five triangular faces can be found on a pentagonal pyramid.<\/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-2-2cb4f929-8055-492f-9b92-dcc1749b9f95\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-2cb4f929-8055-492f-9b92-dcc1749b9f95\"><strong>Are the faces of the right pentagonal pyramid always equilateral?<\/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-2-2cb4f929-8055-492f-9b92-dcc1749b9f95\">\n\n<p>The faces of a right pentagonal pyramid could be isosceles or equilateral triangles.<\/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 one of the first things that come to mind when you think of Egypt? The most likely answer to this question would perhaps be the Great Pyramid of Giza. Looks like a three-dimensional triangle, doesn&#8217;t it? What Is a Pyramid? Well, a pyramid is a three-dimensional shape. It has a polygon at the &#8230; <a title=\"Pentagonal Pyramid &#8211; Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pentagonal-pyramid\" aria-label=\"More on Pentagonal Pyramid &#8211; Definition with Examples\">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-1646","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\/1646","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=1646"}],"version-history":[{"count":23,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1646\/revisions"}],"predecessor-version":[{"id":40093,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1646\/revisions\/40093"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1646"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1646"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1646"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}