{"id":1715,"date":"2022-04-21T13:43:00","date_gmt":"2022-04-21T13:43:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1715"},"modified":"2023-09-05T01:49:46","modified_gmt":"2023-09-05T01:49:46","slug":"decagonal-prism-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/decagonal-prism","title":{"rendered":"Decagonal Prism &#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<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-9539aa6b-1b75-4ae9-a255-29d20dfa61b3\" 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\/decagonal-prism#0-decagonal-prism-introduction>Decagonal Prism: Introduction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/decagonal-prism#1-what-is-a-decagonal-prism>What Is a Decagonal Prism?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/decagonal-prism#2-what-is-a-regular-decagon>What Is a Regular Decagon?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/decagonal-prism#5-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/decagonal-prism#6-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/decagonal-prism#7-frequently-asked-question>Frequently Asked Question<\/a><\/li><\/ul><\/div><\/div><\/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%\">\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-decagonal-prism-introduction\">Decagonal Prism: Introduction<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Before we discuss decagonal prism, let\u2019s recall some important concepts and definitions. A prism is a three-dimensional figure made up of two kinds of faces: bases and lateral faces. The bases of a prism are polygons that form the top and bottom of the prism. The two bases of a prism are identical polygons like a triangle, a square, a rectangle, or a hexagon. A prism is named for the shape of its base.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">These can be triangles, squares, or any other polygon. The lateral faces connect the base and the top and are usually parallelograms.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For instance, a pentagonal prism is called so because its two bases are regular pentagons.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"622\" height=\"541\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/base-and-lateral-face-of-a-pentagonal-prism.png\" alt=\"Base and lateral face of a pentagonal prism\" class=\"wp-image-33773\" title=\"Base and lateral face of a pentagonal prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/base-and-lateral-face-of-a-pentagonal-prism.png 622w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/base-and-lateral-face-of-a-pentagonal-prism-300x261.png 300w\" sizes=\"auto, (max-width: 622px) 100vw, 622px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Similarly, a hexagonal prism has 2 regular hexagons as its bases and 6 faces.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"480\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/hexagonal-prism.png\" alt=\"Hexagonal prism\" class=\"wp-image-33774\" title=\"Hexagonal prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/hexagonal-prism.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/hexagonal-prism-300x232.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">Based on this, can you now figure out what a <strong>decagonal prism <\/strong>is? Let\u2019s find out!&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-what-is-a-decagonal-prism\">What Is a Decagonal Prism?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The <strong>decagonal prism<\/strong> is formed by two regular decagons as its bases and 10 squares as its other faces. Thus, the top of the decagonal prism is a regular decagon, so is the bottom face.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">In other words, it is a three-dimensional figure with two identical decagonal faces on the top and bottom, which are regular decagons, and ten faces, which are squares.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"622\" height=\"530\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/decagonal-prism.png\" alt=\"Decagonal prism\" class=\"wp-image-33776\" title=\"Decagonal prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/decagonal-prism.png 622w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/decagonal-prism-300x256.png 300w\" sizes=\"auto, (max-width: 622px) 100vw, 622px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-what-is-a-regular-decagon\">What Is a Regular Decagon?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A decagon is a polygon made up of 10 sides. A regular decagon is a decagon in which all the 10 sides are equal.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"473\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/regular-decagon.png\" alt=\"Regular decagon\" class=\"wp-image-33777\" title=\"Regular decagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/regular-decagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/regular-decagon-300x229.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In a <strong>decagonal prism<\/strong>, the 10 square faces and the 2 decagon bases make up 12 faces in total.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-what-kind-of-3d-figure-is-a-decagonal-prism\">What Kind of 3D Figure Is a Decagonal Prism?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A <strong>decagonal prism<\/strong> is a polyhedron.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">A polyhedron is a three-dimensional figure made up of polygons. It has flat faces, straight edges, and vertices.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Some examples of polyhedrons are a cube, prism, and pyramid.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"619\" height=\"526\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/examples-of-polyhedrons.png\" alt=\"Examples of polyhedrons\" class=\"wp-image-33778\" title=\"Examples of polyhedrons\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/examples-of-polyhedrons.png 619w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/examples-of-polyhedrons-300x255.png 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">In the picture above, the pyramid and cube are polyhedrons.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">A<strong> decagonal prism<\/strong> is made up of 10 squares and 2 hexagons, so it is a polyhedron.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-how-to-calculate-the-volume-of-a-decagonal-prism\">How to Calculate the Volume of a Decagonal Prism?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The volume of a prism tells you how much space it occupies.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The volume of any prism can be calculated with the following formula:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Volume <\/strong>$=$<strong> surface area of base <\/strong>$\\times$<strong> height of the prism&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The surface area of base refers to the surface area of the decagonal base. The height is the column of the prism that connects the two bases.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The value you get when you multiply the base with the height will be in cubic units like cubic inches, cubic yards, cubic feet, or cubic meters. These units measure three-dimensional space or volume.<\/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>1. For a decagonal prism, the surface area of base <\/strong>$= 15$<strong> sq. ft, height <\/strong>$= 20$<strong> ft. What is the volume?&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Volume of decagonal prism $=$ Surface area of base $\\times$ Height<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Volume of decagonal prism $= 15 \\times 20 = 300$ square feet<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. In a decagonal prism, the base has the surface area of 1 square inches, height <\/strong>$= 1$<strong> inch. What is the volume ?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Volume $=$ Surface area of base $\\times$ Height&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Volume $= 1$ square inches $\\times 1$ inch<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Volume $= 1$ cubic inches<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. The base of a decagonal prism has a surface area of 277 inch\u00b2. The height is 10 inches. Calculate the volume.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong> Volume $=$ surface area of base $\\times$ height&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 277 \\times 10$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 2770$ $\\text{inch}^{3}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4. The volume of a decagonal prism is <\/strong>$1108$<strong> <\/strong>$\\text{inch}^{3}$<strong>. The surface area of the base is 123 inch\u00b2. What is the height?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong> Volume = surface area of base $\\times$ height<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$= 1108 = 123 \\times$ height&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Height $= 1108 \/ 123 = 9$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the height is 9 inches.<\/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;\">Decagonal Prism - 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\">What are the two bases of a decagonal prism?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Regular pentagons<\/div><div class=\"spq_answer_block\" data-value=\"1\">Regular hexagons<\/div><div class=\"spq_answer_block\" data-value=\"2\">Squares<\/div><div class=\"spq_answer_block\" data-value=\"3\">Regular decagons<\/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: Regular decagons<br\/>The two bases of a decagonal prism are decagons with equal sides, which are called regular decagons.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The base of a decagonal prism has a surface area of 377 inch\u00b2. The height is 9 inches. Calculate the volume.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$27$ $\\text{inch}^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$1047$ $\\text{inch}^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$3393$ $\\text{inch}^{3}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$3341$ $\\text{inch}^{3}$<\/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: $3393$ $\\text{inch}^{3}$<br\/>Volume $=$ surface area of base $\\times$ height<br>\r\n$= 377 \\times 9$<br>\r\n$ = 3393$ $\\text{inch}^{3}$<\/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\">The volume of a decagonal prism is $377,100 \\text{cm}^{3}$. The surface area of the base is $7394 \\text{cm}^{2}$. What is the height?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$73$ $\\text{cm}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$65$ $\\text{cm}^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$0.65$ $\\text{m}^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$51$ $\\text{cm}$<\/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: $51$ $\\text{cm}$<br\/>Volume $=$ surface area of base $\\times$ height<br>\r\n$377100 = 7394 \\times$ height<br>\r\nHeight $= 377100 \\div 7394 = 51$<br>\r\nSo the height is $51$ $\\text{cm}$.<\/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\": \"Decagonal Prism - Definition with Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Decagonal Prism - Definition with Examples\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What are the two bases of a decagonal prism?\",\n                    \"text\": \"What are the two bases of a decagonal prism?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The two bases of a decagonal prism are decagons with equal sides, which are called regular decagons.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Regular pentagons\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The two bases of a decagonal prism are decagons with equal sides, which are called regular decagons.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Regular hexagons\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The two bases of a decagonal prism are decagons with equal sides, which are called regular decagons.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Squares\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The two bases of a decagonal prism are decagons with equal sides, which are called regular decagons.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Regular decagons\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The two bases of a decagonal prism are decagons with equal sides, which are called regular decagons.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The two bases of a decagonal prism are decagons with equal sides, which are called regular decagons.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The base of a decagonal prism has a surface area of 377 inch\u00b2. The height is 9 inches. Calculate the volume.\",\n                    \"text\": \"The base of a decagonal prism has a surface area of 377 inch\u00b2. The height is 9 inches. Calculate the volume.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Volume $$=$$ surface area of base $$\\\\times$$ height<br>\r\n$$= 377 \\\\times 9$$<br>\r\n$$ = 3393$$ $$\\\\text{inch}^{3}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$27$$ $$\\\\text{inch}^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume $$=$$ surface area of base $$\\\\times$$ height<br>\r\n$$= 377 \\\\times 9$$<br>\r\n$$ = 3393$$ $$\\\\text{inch}^{3}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$1047$$ $$\\\\text{inch}^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume $$=$$ surface area of base $$\\\\times$$ height<br>\r\n$$= 377 \\\\times 9$$<br>\r\n$$ = 3393$$ $$\\\\text{inch}^{3}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$3341$$ $$\\\\text{inch}^{3}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume $$=$$ surface area of base $$\\\\times$$ height<br>\r\n$$= 377 \\\\times 9$$<br>\r\n$$ = 3393$$ $$\\\\text{inch}^{3}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$3393$$ $$\\\\text{inch}^{3}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Volume $$=$$ surface area of base $$\\\\times$$ height<br>\r\n$$= 377 \\\\times 9$$<br>\r\n$$ = 3393$$ $$\\\\text{inch}^{3}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Volume $$=$$ surface area of base $$\\\\times$$ height<br>\r\n$$= 377 \\\\times 9$$<br>\r\n$$ = 3393$$ $$\\\\text{inch}^{3}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The volume of a decagonal prism is $$377,100 \\\\text{cm}^{3}$$. The surface area of the base is $$7394 \\\\text{cm}^{2}$$. What is the height?\",\n                    \"text\": \"The volume of a decagonal prism is $$377,100 \\\\text{cm}^{3}$$. The surface area of the base is $$7394 \\\\text{cm}^{2}$$. What is the height?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Volume $$=$$ surface area of base $$\\\\times$$ height<br>\r\n$$377100 = 7394 \\\\times$$ height<br>\r\nHeight $$= 377100 \\\\div 7394 = 51$$<br>\r\nSo the height is $$51$$ $$\\\\text{cm}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$73$$ $$\\\\text{cm}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume $$=$$ surface area of base $$\\\\times$$ height<br>\r\n$$377100 = 7394 \\\\times$$ height<br>\r\nHeight $$= 377100 \\\\div 7394 = 51$$<br>\r\nSo the height is $$51$$ $$\\\\text{cm}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$65$$ $$\\\\text{cm}^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume $$=$$ surface area of base $$\\\\times$$ height<br>\r\n$$377100 = 7394 \\\\times$$ height<br>\r\nHeight $$= 377100 \\\\div 7394 = 51$$<br>\r\nSo the height is $$51$$ $$\\\\text{cm}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$0.65$$ $$\\\\text{m}^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume $$=$$ surface area of base $$\\\\times$$ height<br>\r\n$$377100 = 7394 \\\\times$$ height<br>\r\nHeight $$= 377100 \\\\div 7394 = 51$$<br>\r\nSo the height is $$51$$ $$\\\\text{cm}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$51$$ $$\\\\text{cm}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Volume $$=$$ surface area of base $$\\\\times$$ height<br>\r\n$$377100 = 7394 \\\\times$$ height<br>\r\nHeight $$= 377100 \\\\div 7394 = 51$$<br>\r\nSo the height is $$51$$ $$\\\\text{cm}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Volume $$=$$ surface area of base $$\\\\times$$ height<br>\r\n$$377100 = 7394 \\\\times$$ height<br>\r\nHeight $$= 377100 \\\\div 7394 = 51$$<br>\r\nSo the height is $$51$$ $$\\\\text{cm}$$.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-frequently-asked-question\">Frequently Asked Question<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-9db1e28e-0321-4a81-a73e-2ef3ba2f1de2\" 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-0-9db1e28e-0321-4a81-a73e-2ef3ba2f1de2\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-9db1e28e-0321-4a81-a73e-2ef3ba2f1de2\"><strong>How many edges and vertices does a decagonal prism have?<\/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-0-9db1e28e-0321-4a81-a73e-2ef3ba2f1de2\">\n\n<p class=\"eplus-wrapper\">A decagonal prism has 30 edges and 20 vertices. 10 vertices of the decagon at the top and 10 vertices of the decagon at the bottom make the 20 vertices of the decagonal prism.<\/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-1-9db1e28e-0321-4a81-a73e-2ef3ba2f1de2\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-9db1e28e-0321-4a81-a73e-2ef3ba2f1de2\"><strong>What are the other kinds of prisms?<\/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-1-9db1e28e-0321-4a81-a73e-2ef3ba2f1de2\">\n\n<p class=\"eplus-wrapper\">Other kinds of prisms include triangular prisms, rectangular prisms, pentagonal prisms, and hexagonal prisms. These prisms are named after the polygons that form their bases, such as triangles, rectangles, pentagons, and hexagons.<\/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-2-9db1e28e-0321-4a81-a73e-2ef3ba2f1de2\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-9db1e28e-0321-4a81-a73e-2ef3ba2f1de2\"><strong>Why is a decagonal prism said to be a dodecahedron?<\/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-2-9db1e28e-0321-4a81-a73e-2ef3ba2f1de2\">\n\n<p class=\"eplus-wrapper\">A dodecahedron is a polyhedron that has 12 faces. A decagonal prism has 12 faces in total (10 sides and 2 bases), so it is a dodecahedron.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The most common example of a dodecahedron is the regular dodecahedron, which has 12 faces that are all regular pentagons.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Decagonal Prism: Introduction Before we discuss decagonal prism, let\u2019s recall some important concepts and definitions. A prism is a three-dimensional figure made up of two kinds of faces: bases and lateral faces. The bases of a prism are polygons that form the top and bottom of the prism. The two bases of a prism are &#8230; <a title=\"Decagonal Prism &#8211; Definition with Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/decagonal-prism\" aria-label=\"More on Decagonal Prism &#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-1715","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\/1715","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=1715"}],"version-history":[{"count":16,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1715\/revisions"}],"predecessor-version":[{"id":33779,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1715\/revisions\/33779"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1715"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1715"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1715"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}