{"id":1623,"date":"2022-04-21T08:37:30","date_gmt":"2022-04-21T08:37:30","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1623"},"modified":"2023-02-20T06:06:01","modified_gmt":"2023-02-20T06:06:01","slug":"octagonal-prism-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/octagonal-prism","title":{"rendered":"Octagonal 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-1cbd118b-99b5-4788-a3f3-11cdaf273f38\" 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\/octagonal-prism#0-what-is-a-prism>What Is a Prism?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/octagonal-prism#1-what-is-an-octagonal-prism>What Is an Octagonal Prism?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/octagonal-prism#3-the-volume-of-an-octagonal-prism>The Volume of an Octagonal Prism<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/octagonal-prism#5-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/octagonal-prism#6-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/octagonal-prism#7-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\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\">A prism is a closed solid whose two identical faces are parallel plane polygons and whose side faces are parallelograms or rectangles. All the faces of a prism are flat.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">You can find various kinds of prisms. Here are some examples:<\/p>\n\n\n\n<p class=\" eplus-wrapper\">&nbsp;1. Triangular prism, whose base is made up of triangles with 3 rectangular lateral faces.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"464\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism1.png\" alt=\"Triangular prism\" class=\"wp-image-10446\" title=\"Triangular prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism1-300x225.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">2. Rectangular prism, whose base is made up of rectangles with 4 rectangular lateral faces. It is also known as a cuboid.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"433\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism2.png\" alt=\"Rectangular prism\" class=\"wp-image-10447\" title=\"Rectangular prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism2-300x210.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">3. Cube, whose base is made up of squares with 4 square lateral faces. It is also known as a square prism.<\/p>\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\/2022\/09\/octagonal-prism3.png\" alt=\"Cube\" class=\"wp-image-10448\" title=\"Cube\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism3-300x203.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">4. Pentagonal prism, whose base is made up of pentagons with 5 rectangular lateral faces.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"385\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism4.png\" alt=\"Pentagonal prism\" class=\"wp-image-10449\" title=\"Pentagonal prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism4-300x186.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"1-what-is-an-octagonal-prism\">What Is an Octagonal Prism?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">An octagonal prism is a prism bounded by 2 octagonal bases and 8 rectangular sides. It has 24 edges, 16 vertices, and 10 faces.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"494\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism5.png\" alt=\"Octagonal prism\" class=\"wp-image-10450\" title=\"Octagonal prism\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism5-300x239.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">In our day-to-day life, we use and see objects of various octagonal shapes. For example:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">An octagonal platter<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"653\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism6.png\" alt=\"Octagonal platter\" class=\"wp-image-10451\" title=\"Octagonal platter\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism6-285x300.png 285w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">An octagonal pizza box<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"433\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism7.png\" alt=\"Octagonal pizza box\" class=\"wp-image-10452\" title=\"Octagonal pizza box\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism7.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism7-300x210.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">An octagonal ring<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"536\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism8.png\" alt=\"Octagonal ring\" class=\"wp-image-10453\" title=\"Octagonal ring\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism8.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism8-300x259.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">An octagonal egg container<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"519\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism9.png\" alt=\"Octagonal container\" class=\"wp-image-10454\" title=\"Octagonal container\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism9.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism9-300x251.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"2-the-surface-area-of-an-octagonal-prism\">The Surface Area of an Octagonal Prism<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">The surface area of an octagonal prism includes the areas or spaces covered by all of its faces. In order to calculate its total surface area, you need to apply the following formula:<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Lateral surface area of a right octagonal prism $=$ perimeter of base $\\times$ height<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Total surface area of an octagonal prism $=$ lateral surface area$ + 2 \\times$ base area<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"3-the-volume-of-an-octagonal-prism\">The Volume of an Octagonal Prism<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Volume is the amount of space a solid shape occupies or the amount of space contained within the shape.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Volume of an octagonal prism $=$ base area $\\times$ height<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"4-octagonal-prism-with-regular-hexagon-as-base\">Octagonal Prism with Regular Hexagon as Base<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">To find the surface area or volume of a regular octagonal prism we will require the side length (<em>s<\/em>), height (<em>h<\/em>), and the apothem length (<em>a<\/em>). The apothem of a regular polygon is a line segment joining the center of the polygon to the midpoint of one of its sides.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"361\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism10.png\" alt=\"Octagonal prism with apothem, side, and height marked\" class=\"wp-image-10455\" title=\"Octagonal prism with apothem, side, and height marked\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism10.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/octagonal-prism10-300x175.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">So, perimeter of base $= 8s$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">and area of base $=$ perimeter of base $\\times$ apothem $\\div 2$ or 4<em>sa<\/em><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Thus, lateral surface area of a right regular octagonal prism <\/strong>$= 8sh$<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Total surface area of a regular octagonal prism <\/strong>$= 8sh + 8sa or 8s(h + 1)$<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Volume of a regular octagonal prism <\/strong>$= 4sah$<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"5-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 1: How many faces does an octagonal prism have?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution<\/strong>: The faces are the same as the surfaces, which make a 3D shape, so an octagonal prism has 10 faces (8 rectangular faces and 2 octagonal faces$\u2014$one at the top and the other at the bottom).&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 2: How many edges does an octagonal prism have?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong> The edges are the same as the sides, where the two faces meet. Therefore, there are 24 edges in an octagonal prism.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 3: How many vertices does an octagonal prism have?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong> The vertices are points at the corners of the shape where two edges meet. Thus, an octagonal prism has 16 vertices or corners.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 4: What is the volume of the given regular octagonal prism? <\/strong><strong><\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Alt Tag: Octagonal prism with 6 m side, 4 m apothem, and 12 m height<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution: <\/strong>We know that the formula for the area base of an octagonal prism $=$ perimeter $\\times$ apothem$\\div 2$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The formula for the perimeter of the base of a regular octagonal prism$ = $$8 \\times$side<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Here, side $= 6 m$, apothem $=$$ 4 m&nbsp;$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, perimeter $= 8 \\times 6 m = 48 m$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Now, the area of base for this octagonal prism$ = $perimeter$ \\times$ apothem $\\times 2$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$= 48 m \\times 4 m \\div 2$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$= 96 m\u00b2$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Hence, the volume of an octagonal prism $=$ base area $\\times$height<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$= 96 m\u00b2 \\times 12 m$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$= 1152 m\u00b3$<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"6-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Octagonal Prism - Definition With Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which among these is one of the properties of a prism?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Identical and parallel ends with all flat faces.<\/div><div class=\"spq_answer_block\" data-value=\"1\">Identical and parallel ends with all curved faces.<\/div><div class=\"spq_answer_block\" data-value=\"2\">Identical and parallel ends with both curved faces and flat faces.<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of the above<\/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: Identical and parallel ends with all flat faces.<br\/>We call a solid shape a prism when it has identical parallel ends and flat faces, not curved faces.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the volume of the given regular octagonal prism?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/09\/pp2-1.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">$600 m\u00b3$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$580 m\u00b3$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$290 m\u00b3$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$100 m\u00b3$<\/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: $600 m\u00b3$<br\/>Volume of a regular octagonal prism $= 4 \\times$ side $\\times$ apothem length $\\times$ height<br>\r\n$= 5 m \\times 3 m \\times 10 m$<br>\r\n$= 600 m\u00b3$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">An octagonal prism is a ___$-$dimensional polyhedron.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Three<\/div><div class=\"spq_answer_block\" data-value=\"1\">Two<\/div><div class=\"spq_answer_block\" data-value=\"2\">Four<\/div><div class=\"spq_answer_block\" data-value=\"3\">Seven<\/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: Three<br\/>An octagonal prism is a $3-$dimensional polyhedron with 8 rectangular sides and 2 octagonal bases.<\/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        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not curved faces.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Identical and parallel ends with all curved faces.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We call a solid shape a prism when it has identical parallel ends and flat faces, not curved faces.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Identical and parallel ends with both curved faces and flat faces.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We call a solid shape a prism when it has identical parallel ends and flat faces, not curved faces.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of the above\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We call a solid shape a prism when it has identical parallel ends and flat faces, not curved faces.\"\n                                    }\n                                }],\n                    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    \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of a regular octagonal prism $$= 4 \\\\times$$ side $$\\\\times$$ apothem length $$\\\\times$$ height<br>\r\n$$= 5 m \\\\times 3 m \\\\times 10 m$$<br>\r\n$$= 600 m\u00b3$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$290 m\u00b3$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of a regular octagonal prism $$= 4 \\\\times$$ side $$\\\\times$$ apothem length $$\\\\times$$ height<br>\r\n$$= 5 m \\\\times 3 m \\\\times 10 m$$<br>\r\n$$= 600 m\u00b3$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$100 m\u00b3$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Volume of a regular octagonal prism $$= 4 \\\\times$$ side $$\\\\times$$ apothem length $$\\\\times$$ height<br>\r\n$$= 5 m \\\\times 3 m \\\\times 10 m$$<br>\r\n$$= 600 m\u00b3$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$600 m\u00b3$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Volume of a regular octagonal prism $$= 4 \\\\times$$ side $$\\\\times$$ apothem length $$\\\\times$$ height<br>\r\n$$= 5 m \\\\times 3 m \\\\times 10 m$$<br>\r\n$$= 600 m\u00b3$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Volume of a regular octagonal prism $$= 4 \\\\times$$ side $$\\\\times$$ apothem length $$\\\\times$$ height<br>\r\n$$= 5 m \\\\times 3 m \\\\times 10 m$$<br>\r\n$$= 600 m\u00b3$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"An octagonal prism is a ___$$-$$dimensional polyhedron.\",\n                    \"text\": \"An octagonal prism is a ___$$-$$dimensional polyhedron.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"An octagonal prism is a $$3-$$dimensional polyhedron with 8 rectangular sides and 2 octagonal bases.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Two\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"An octagonal prism is a $$3-$$dimensional polyhedron with 8 rectangular sides and 2 octagonal bases.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Four\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"An octagonal prism is a $$3-$$dimensional polyhedron with 8 rectangular sides and 2 octagonal bases.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Seven\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"An octagonal prism is a $$3-$$dimensional polyhedron with 8 rectangular sides and 2 octagonal bases.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Three\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"An octagonal prism is a $$3-$$dimensional polyhedron with 8 rectangular sides and 2 octagonal bases.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"An octagonal prism is a $$3-$$dimensional polyhedron with 8 rectangular sides and 2 octagonal bases.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"7-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-94ccf3d4-060f-4493-9b4d-5f166f8b70a8\" 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-0-94ccf3d4-060f-4493-9b4d-5f166f8b70a8\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-94ccf3d4-060f-4493-9b4d-5f166f8b70a8\"><strong>What do you mean by the surface area of an octagonal prism?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-94ccf3d4-060f-4493-9b4d-5f166f8b70a8\">\n\n<p>Surface area means the area of the surface it covers. Spaces covered by the faces is known as the surface area of an octagonal prism.&nbsp;<\/p>\n\n\n\n<p>Lateral surface area of a right octagonal prism $=$ perimeter of base $\\times$ height<\/p>\n\n\n\n<p>Total surface area of an octagonal prism $=$ lateral area $+$ base area $\\times 2$<\/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-1-94ccf3d4-060f-4493-9b4d-5f166f8b70a8\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-94ccf3d4-060f-4493-9b4d-5f166f8b70a8\"><strong>Why do we consider an octagonal prism a decahedron? Explain with reasons.<\/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-1-94ccf3d4-060f-4493-9b4d-5f166f8b70a8\">\n\n<p>In geometry, &#8220;deca&#8221; means ten. An octagonal prism has 2 octagonal faces and 8 rectangular faces. In other words, we can say it has 10 faces. Hence, we can also call an octagonal prism a decahedron.<\/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-2-94ccf3d4-060f-4493-9b4d-5f166f8b70a8\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-94ccf3d4-060f-4493-9b4d-5f166f8b70a8\"><strong>Why do we consider an octagonal prism 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-2-94ccf3d4-060f-4493-9b4d-5f166f8b70a8\">\n\n<p>Solids that are made up of only polygonal faces joined to each other through vertices are called polyhedrons.<\/p>\n\n\n\n<p>An octagonal prism is made up of only polygonal faces, which are joined to each other through vertices. Hence, an it is a polyhedron.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Is a Prism? A prism is a closed solid whose two identical faces are parallel plane polygons and whose side faces are parallelograms or rectangles. All the faces of a prism are flat. You can find various kinds of prisms. Here are some examples: &nbsp;1. Triangular prism, whose base is made up of triangles &#8230; <a title=\"Octagonal Prism &#8211; Definition With Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/octagonal-prism\" aria-label=\"More on Octagonal 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-1623","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\/1623","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=1623"}],"version-history":[{"count":18,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1623\/revisions"}],"predecessor-version":[{"id":24827,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1623\/revisions\/24827"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1623"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1623"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1623"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}