{"id":1560,"date":"2022-04-20T12:00:52","date_gmt":"2022-04-20T12:00:52","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1560"},"modified":"2023-02-20T05:48:45","modified_gmt":"2023-02-20T05:48:45","slug":"hexagonal-prism-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/hexagonal-prism","title":{"rendered":"Hexagonal Prism &#8211; Definition With Examples"},"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<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-49999900-a323-46ef-b8a6-d47f374271aa\" 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\/hexagonal-prism#0-what-is-a-prism>What is a Prism?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/hexagonal-prism#1-what-is-a-hexagonal-prism->What is a Hexagonal Prism?&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/hexagonal-prism#4-how-to-calculate-the-volume-of-a-hexagonal-prism->How to Calculate the Volume of a Hexagonal Prism?&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/hexagonal-prism#6-solved-examples->Solved Examples&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/hexagonal-prism#7-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/hexagonal-prism#8-frequently-asked-questions>Frequently Asked Questions<\/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-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%\">\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"0-what-is-a-prism\">What is a Prism?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A prism is a three-dimensional solid figure with flat faces and two identical bases. The two bases of a prism are polygons like a triangle, a square, a rectangle, or a hexagram. A prism is usually named after the polygon that forms its base.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example, a triangular prism has two triangles as its bases.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"625\" height=\"374\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism-1.png\" alt=\"Solid triangular prism\" class=\"wp-image-6619\" title=\"Solid triangular prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism-1.png 625w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism-1-300x180.png 300w\" sizes=\"auto, (max-width: 625px) 100vw, 625px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A rectangular prism has two rectangles as its bases.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"404\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism_2.png\" alt=\"Solid rectangular prism\" class=\"wp-image-6620\" title=\"Solid rectangular prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism_2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism_2-300x195.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Based on this, can you guess what a <strong>hexagonal prism <\/strong>is?<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"1-what-is-a-hexagonal-prism-\">What is a Hexagonal Prism?&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">A hexagonal prism is defined as a prism with a hexagonal base and top. A hexagonal prism has 8 faces, 18 <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/edge\">edges<\/a>, and 12 vertices.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Out of the 8 faces, 6 are parallelograms, and 2 are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/hexagon\">hexagons<\/a>, and that\u2019s why it is called a hexagonal prism. These hexagons are at the<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/base\"> base<\/a> and the top as the opposite faces of a prism are the same.&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"628\" height=\"445\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism_3.png\" alt=\"Solid hexagonal prism marked with base, face, and vertex\" class=\"wp-image-6622\" title=\"Solid hexagonal prism marked with base, face, and vertex\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism_3.png 628w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism_3-300x213.png 300w\" sizes=\"auto, (max-width: 628px) 100vw, 628px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Alt Tag: Solid hexagonal prism marked with base, face, and vertex<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"2-real-life-examples-of-hexagonal-prisms\">Real-Life Examples of Hexagonal Prisms<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hexagonal prisms might not be as common as other <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/prism\">prisms<\/a>, but they can still be found around us. Some of its examples are boxes, nuts, pencils, weights, buildings, vases, etc.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"625\" height=\"453\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism_4.png\" alt=\"Real life examples of hexagonal prism\" class=\"wp-image-6623\" title=\"Real life examples of hexagonal prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism_4.png 625w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism_4-300x217.png 300w\" sizes=\"auto, (max-width: 625px) 100vw, 625px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"3-net-of-a-hexagonal-prism\">Net of a Hexagonal Prism<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We can form a hexagonal prism using its net, as shown below.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The net of a 3D object shows the faces of that object when it is opened flat. On folding the net, we get the 3D object.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"376\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism_5.png\" alt=\"Net of a hexagonal prism\" class=\"wp-image-6624\" title=\"Net of a hexagonal prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism_5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism_5-300x182.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"4-how-to-calculate-the-volume-of-a-hexagonal-prism-\">How to Calculate the Volume of a Hexagonal Prism?&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The volume of a <strong>hexagonal prism <\/strong>refers to the space that it occupies. The volume of any prism can be calculated with this equation:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Volume = base area \u00d7 height of the prism&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The base area is the surface area of the polygon base. In this case, it is the hexagon.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">It is measured in square units (like square inches or square feet) because it describes the surface area.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The height is the column that connects the two bases of the prism. It is measured in single units (like inches or feet) since it describes the length of the column.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">When you multiply the base area with the height, the resulting value is in cubic units, like cubic inches, cubic yards, cubic feet, or cubic meters. These units measure the volume of a three-dimensional figure.&nbsp;<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"5-fun-fact\">Fun Fact<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The hexagonal face of a hexagonal prism can either be a regular hexagon or an irregular hexagon. If it is a regular hexagon, then all the angles of the hexagon are the same. If it is an irregular hexagon, then the angles of the hexagon are different.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"6-solved-examples-\">Solved Examples&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1. <\/strong>How many total faces does a <strong>hexagonal prism <\/strong>have?&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"472\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism_6.png\" alt=\"Hexagonal prism\" class=\"wp-image-6625\" title=\"Hexagonal prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism_6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hexagonal-prism_6-300x228.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Alt Tag: Hexagonal prism<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Answer. A <strong>hexagonal prism<\/strong> has 8 faces in total &#8211; two bases and 6 sides.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2. <\/strong>What polygons make up the sides of a <strong>hexagonal prism<\/strong>?<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Answer. The sides of a <strong>hexagonal prism<\/strong> are parallelograms or rectangles.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 3<\/strong>. The base of a <strong>hexagonal prism <\/strong>has a surface area of 475 inch\u00b2. The height is 8 inches. Calculate the volume.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Answer. Volume = base area \u00d7 height&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Base area = 475 inch\u00b2<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Height = 8 inches<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Volume = 475 \u00d7 8 = 3800 inch\u00b3&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 4.<\/strong> The volume of a <strong>hexagonal prism<\/strong> is 150 inch\u00b3. The surface area of the base is 10 inch\u00b2. What is the height?&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Answer. Volume = base area x height&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Volume = 150 inch\u00b3&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Surface area = 10 inch\u00b2&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">150 = 10 \u00d7 height&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Height =150\/10 = 15&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, the height is 15 inches.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"7-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Hexagonal Prism - 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\">How many edges and vertices does a hexagonal prism have?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">24 edges and 36 vertices<\/div><div class=\"spq_answer_block\" data-value=\"1\">18 edges and 12 vertices<\/div><div class=\"spq_answer_block\" data-value=\"2\">12 edges and 18 vertices<\/div><div class=\"spq_answer_block\" data-value=\"3\">24 edges and 30 vertices<\/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: 18 edges and 12 vertices<br\/>A hexagonal prism has 18 edges and 12 vertices.<\/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\">The base of a hexagonal prism has a surface area of 250 inch\u00b2. The height is 20 inches. Calculate the volume.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">12.5 inch\u00b3<\/div><div class=\"spq_answer_block\" data-value=\"1\">5000 inch\u00b3 <\/div><div class=\"spq_answer_block\" data-value=\"2\">4625 inch\u00b3<\/div><div class=\"spq_answer_block\" data-value=\"3\">3341 inch\u00b2 <\/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: 5000 inch\u00b3 <br\/>Base area = 250 inch\u00b2<br>\r\nHeight = 20 inches<br>\r\nVolume = base area x height<br>\r\n= 250 \u00d7 20<br>\r\nVolume = 5000 inch\u00b3<\/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 hexagonal prism is 250000 cm\u00b3. The surface area of the base is 1000 cm\u00b2. What is the height?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">2500 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">25 cm\u00b2<\/div><div class=\"spq_answer_block\" data-value=\"2\">0.65 m\u00b2<\/div><div class=\"spq_answer_block\" data-value=\"3\">250 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: 250 cm<br\/>Volume = 250000 cm\u00b3<br>\r\nBase area = 1000 cm<br>\r\nVolume = base area \u00d7 height<br>\r\n250000 = 1000 \u00d7 height<br>\r\nHeight = 250000\/1000<br>\r\n= 250 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\": \"Hexagonal Prism - Definition With Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Hexagonal Prism\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"How many edges and vertices does a hexagonal prism have?\",\n                    \"text\": \"How many edges and vertices does a hexagonal prism have?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A hexagonal prism has 18 edges and 12 vertices.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"24 edges and 36 vertices\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A hexagonal prism has 18 edges and 12 vertices.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12 edges and 18 vertices\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A hexagonal prism has 18 edges and 12 vertices.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"24 edges and 30 vertices\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A hexagonal prism has 18 edges and 12 vertices.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"18 edges and 12 vertices\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A hexagonal prism has 18 edges and 12 vertices.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A hexagonal prism has 18 edges and 12 vertices.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The base of a hexagonal prism has a surface area of 250 inch\u00b2. 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Calculate the volume.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Base area = 250 inch\u00b2<br>\r\nHeight = 20 inches<br>\r\nVolume = base area x height<br>\r\n= 250 \u00d7 20<br>\r\nVolume = 5000 inch\u00b3\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12.5 inch\u00b3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Base area = 250 inch\u00b2<br>\r\nHeight = 20 inches<br>\r\nVolume = base area x height<br>\r\n= 250 \u00d7 20<br>\r\nVolume = 5000 inch\u00b3\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4625 inch\u00b3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Base area = 250 inch\u00b2<br>\r\nHeight = 20 inches<br>\r\nVolume = base area x height<br>\r\n= 250 \u00d7 20<br>\r\nVolume = 5000 inch\u00b3\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3341 inch\u00b2 \",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Base area = 250 inch\u00b2<br>\r\nHeight = 20 inches<br>\r\nVolume = base area x height<br>\r\n= 250 \u00d7 20<br>\r\nVolume = 5000 inch\u00b3\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"5000 inch\u00b3 \",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Base area = 250 inch\u00b2<br>\r\nHeight = 20 inches<br>\r\nVolume = base area x height<br>\r\n= 250 \u00d7 20<br>\r\nVolume = 5000 inch\u00b3\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Base area = 250 inch\u00b2<br>\r\nHeight = 20 inches<br>\r\nVolume = base area x height<br>\r\n= 250 \u00d7 20<br>\r\nVolume = 5000 inch\u00b3\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The volume of a hexagonal prism is 250000 cm\u00b3. The surface area of the base is 1000 cm\u00b2. What is the height?\",\n                    \"text\": \"The volume of a hexagonal prism is 250000 cm\u00b3. The surface area of the base is 1000 cm\u00b2. What is the height?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Volume = 250000 cm\u00b3<br>\r\nBase area = 1000 cm<br>\r\nVolume = base area \u00d7 height<br>\r\n250000 = 1000 \u00d7 height<br>\r\nHeight = 250000\/1000<br>\r\n= 250 cm\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2500 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume = 250000 cm\u00b3<br>\r\nBase area = 1000 cm<br>\r\nVolume = base area \u00d7 height<br>\r\n250000 = 1000 \u00d7 height<br>\r\nHeight = 250000\/1000<br>\r\n= 250 cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"25 cm\u00b2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume = 250000 cm\u00b3<br>\r\nBase area = 1000 cm<br>\r\nVolume = base area \u00d7 height<br>\r\n250000 = 1000 \u00d7 height<br>\r\nHeight = 250000\/1000<br>\r\n= 250 cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0.65 m\u00b2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume = 250000 cm\u00b3<br>\r\nBase area = 1000 cm<br>\r\nVolume = base area \u00d7 height<br>\r\n250000 = 1000 \u00d7 height<br>\r\nHeight = 250000\/1000<br>\r\n= 250 cm\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"250 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Volume = 250000 cm\u00b3<br>\r\nBase area = 1000 cm<br>\r\nVolume = base area \u00d7 height<br>\r\n250000 = 1000 \u00d7 height<br>\r\nHeight = 250000\/1000<br>\r\n= 250 cm\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Volume = 250000 cm\u00b3<br>\r\nBase area = 1000 cm<br>\r\nVolume = base area \u00d7 height<br>\r\n250000 = 1000 \u00d7 height<br>\r\nHeight = 250000\/1000<br>\r\n= 250 cm\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"8-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-e1affb99-b0ce-4935-bddd-7ee543805069\" 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-e1affb99-b0ce-4935-bddd-7ee543805069\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e1affb99-b0ce-4935-bddd-7ee543805069\"><strong>Why is a hexagonal prism said to be 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-e1affb99-b0ce-4935-bddd-7ee543805069\">\n\n<p class=\"wp-block-paragraph\">A polyhedron is a three-dimensional figure in which all the faces are polygons. It has flat faces, straight edges, and vertices.A cube, a prism, and a pyramid are all examples of polyhedrons. A <strong>hexagonal prism<\/strong> is made up of 6 rectangles and two hexagons. Since all its faces are polygons, it is considered a polyhedron.<\/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-e1affb99-b0ce-4935-bddd-7ee543805069\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e1affb99-b0ce-4935-bddd-7ee543805069\"><strong>Why is a hexagonal prism said to be an octahedron?<\/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-e1affb99-b0ce-4935-bddd-7ee543805069\">\n\n<p class=\"wp-block-paragraph\">An octahedron is a polyhedron that has 8 faces. A <strong>hexagonal prism<\/strong> has 8 faces (including its 2 bases and 6 sides), so it is an octahedron.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A common example of an octahedron is a regular octahedron, in which the faces are 8 regular triangles.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"456\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/regular-octahedron.png\" alt=\"Regular Octahedron\" class=\"wp-image-6629\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/regular-octahedron.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/regular-octahedron-300x221.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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-e1affb99-b0ce-4935-bddd-7ee543805069\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-e1affb99-b0ce-4935-bddd-7ee543805069\"><strong>What are irregular hexagonal 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-2-e1affb99-b0ce-4935-bddd-7ee543805069\">\n\n<p class=\"wp-block-paragraph\">Irregular hexagonal prisms are those that have irregular hexagons as their bases. In other words, the two base hexagons have different angles, and the sides are not equal in length.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"498\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hollow-hexagonal-prism.png\" alt=\"Hollow Hexagonal Prism\" class=\"wp-image-6630\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hollow-hexagonal-prism.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/hollow-hexagonal-prism-300x241.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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 Prism? A prism is a three-dimensional solid figure with flat faces and two identical bases. The two bases of a prism are polygons like a triangle, a square, a rectangle, or a hexagram. A prism is usually named after the polygon that forms its base.&nbsp; For example, a triangular prism has two &#8230; <a title=\"Hexagonal Prism &#8211; Definition With Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/hexagonal-prism\" aria-label=\"More on Hexagonal 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-1560","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\/1560","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=1560"}],"version-history":[{"count":13,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1560\/revisions"}],"predecessor-version":[{"id":24806,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1560\/revisions\/24806"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1560"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1560"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1560"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}