{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2017-11-29T06:39:27+00:00","modifiedTime":"2017-11-29T06:39:27+00:00","timestamp":"2022-09-14T18:16:03+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Study Skills & Test Prep","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"GED","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33783"},"slug":"ged","categoryId":33783}],"title":"GED Math Extra Prep: Volume and Surface Area of Prisms","strippedTitle":"ged math extra prep: volume and surface area of prisms","slug":"ged-math-extra-prep-volume-surface-area-prisms","canonicalUrl":"","seo":{"metaDescription":"The GED Math test will throw some geometry questions at you that involve three-dimensional shapes like prisms. Usually, they will be in the form of a cube or bo","noIndex":0,"noFollow":0},"content":"The GED Math test will throw some geometry questions at you that involve three-dimensional shapes like prisms. Usually, they will be in the form of a cube or box, as in the following practice questions.\r\n<h2 id=\"tab1\" >Practice Questions</h2>\r\n<ol>\r\n \t<li>A cube has a surface area of 216 square inches. What is its volume in cubic inches?\r\n\r\n<strong>A.</strong> 6\r\n<strong>B.</strong> 36\r\n<strong>C.</strong> 108\r\n<strong>D.</strong> 216</li>\r\n \t<li>If these two boxes have the same volume, what is the height of the second box?\r\n\r\n<img class=\"alignnone size-full wp-image-247570\" src=\"https://www.dummies.com/wp-content/uploads/ged-volume.jpg\" alt=\"ged-volume\" width=\"535\" height=\"240\" />\r\n\r\n<strong>A.</strong> 4\r\n<strong>B.</strong> 5\r\n<strong>C.</strong> 8\r\n<strong>D.</strong> 10</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and Explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is D.\r\n\r\nYou can determine the surface area <em>(SA)</em> of a cube with the following equation, in which <em>s</em> is the length of a side:\r\n\r\n<em>SA</em> = 6<em>s</em><sup>2</sup>\r\n\r\nYou know the surface area equals 216 cubic inches, so you can substitute this into the equation for <em>SA</em> and solve for <em>s:</em>\r\n\r\n216 = 6<em>s</em><sup>2</sup>\r\n\r\nDividing both sides by 6 gives you\r\n\r\n36 = <em>s</em><sup>2</sup>\r\n\r\nHence, <em>s</em> = 6.\r\n\r\nA cube is a special type of rectangular prism in which the length <em>(l),</em> the width <em>(w),</em> and the height <em>(h)</em> are all equal. The volume of a rectangular prism is given by\r\n\r\n<em>V</em> = <em>lwh</em>\r\n\r\nSubstituting <em>l</em> = 6, <em>w</em> = 6, and <em>h</em> = 6 into the equation shows the volume equals 216 cubic inches. Hence, Choice (D) is the correct answer.</li>\r\n \t<li>The correct answer is B.\r\n\r\nThe volume of a box (rectangular prism) is <em>V</em> = <em>lwh</em>, where <em>l</em> is the length, <em>w</em> is the width, and <em>h</em> is the height. Set the volumes of the two boxes equal to each other and solve for <em>h:</em>\r\n\r\n<img class=\"alignnone size-full wp-image-247571\" src=\"https://www.dummies.com/wp-content/uploads/GED_1801.jpg\" alt=\"GED_1801\" width=\"156\" height=\"80\" />\r\n\r\nTherefore, Choice (B) is the correct answer.</li>\r\n</ol>","description":"The GED Math test will throw some geometry questions at you that involve three-dimensional shapes like prisms. Usually, they will be in the form of a cube or box, as in the following practice questions.\r\n<h2 id=\"tab1\" >Practice Questions</h2>\r\n<ol>\r\n \t<li>A cube has a surface area of 216 square inches. What is its volume in cubic inches?\r\n\r\n<strong>A.</strong> 6\r\n<strong>B.</strong> 36\r\n<strong>C.</strong> 108\r\n<strong>D.</strong> 216</li>\r\n \t<li>If these two boxes have the same volume, what is the height of the second box?\r\n\r\n<img class=\"alignnone size-full wp-image-247570\" src=\"https://www.dummies.com/wp-content/uploads/ged-volume.jpg\" alt=\"ged-volume\" width=\"535\" height=\"240\" />\r\n\r\n<strong>A.</strong> 4\r\n<strong>B.</strong> 5\r\n<strong>C.</strong> 8\r\n<strong>D.</strong> 10</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and Explanations</h2>\r\n<ol>\r\n \t<li>The correct answer is D.\r\n\r\nYou can determine the surface area <em>(SA)</em> of a cube with the following equation, in which <em>s</em> is the length of a side:\r\n\r\n<em>SA</em> = 6<em>s</em><sup>2</sup>\r\n\r\nYou know the surface area equals 216 cubic inches, so you can substitute this into the equation for <em>SA</em> and solve for <em>s:</em>\r\n\r\n216 = 6<em>s</em><sup>2</sup>\r\n\r\nDividing both sides by 6 gives you\r\n\r\n36 = <em>s</em><sup>2</sup>\r\n\r\nHence, <em>s</em> = 6.\r\n\r\nA cube is a special type of rectangular prism in which the length <em>(l),</em> the width <em>(w),</em> and the height <em>(h)</em> are all equal. The volume of a rectangular prism is given by\r\n\r\n<em>V</em> = <em>lwh</em>\r\n\r\nSubstituting <em>l</em> = 6, <em>w</em> = 6, and <em>h</em> = 6 into the equation shows the volume equals 216 cubic inches. Hence, Choice (D) is the correct answer.</li>\r\n \t<li>The correct answer is B.\r\n\r\nThe volume of a box (rectangular prism) is <em>V</em> = <em>lwh</em>, where <em>l</em> is the length, <em>w</em> is the width, and <em>h</em> is the height. Set the volumes of the two boxes equal to each other and solve for <em>h:</em>\r\n\r\n<img class=\"alignnone size-full wp-image-247571\" src=\"https://www.dummies.com/wp-content/uploads/GED_1801.jpg\" alt=\"GED_1801\" width=\"156\" height=\"80\" />\r\n\r\nTherefore, Choice (B) is the correct answer.</li>\r\n</ol>","blurb":"","authors":[{"authorId":8947,"name":"The Experts at Dummies","slug":"the-experts-at-dummies","description":"The Experts at Dummies are smart, friendly people who make learning easy by taking a not-so-serious approach to serious stuff.","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8947"}}],"primaryCategoryTaxonomy":{"categoryId":33783,"title":"GED","slug":"ged","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33783"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[{"label":"Practice Questions","target":"#tab1"},{"label":"Answers and Explanations","target":"#tab2"}],"relatedArticles":{"fromBook":[{"articleId":260319,"title":"1,001 GED Practice Questions For Dummies Cheat Sheet","slug":"1001-ged-practice-questions-for-dummies-cheat-sheet","categoryList":["academics-the-arts","study-skills-test-prep","ged"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/260319"}},{"articleId":247666,"title":"GED Science Extra Prep: Forms of Energy","slug":"ged-science-extra-prep-forms-energy","categoryList":["academics-the-arts","study-skills-test-prep","ged"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/247666"}},{"articleId":247664,"title":"GED Science Extra Prep: Cell Theory","slug":"ged-science-extra-prep-cell-theory","categoryList":["academics-the-arts","study-skills-test-prep","ged"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/247664"}},{"articleId":247661,"title":"GED Science Extra Prep: Earth's Layers and Landforms","slug":"ged-science-extra-prep-earths-layers-landforms","categoryList":["academics-the-arts","study-skills-test-prep","ged"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/247661"}},{"articleId":247659,"title":"GED Science Extra Prep: Space Science","slug":"ged-science-extra-prep-space-science","categoryList":["academics-the-arts","study-skills-test-prep","ged"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/247659"}}],"fromCategory":[{"articleId":260319,"title":"1,001 GED Practice Questions For Dummies Cheat Sheet","slug":"1001-ged-practice-questions-for-dummies-cheat-sheet","categoryList":["academics-the-arts","study-skills-test-prep","ged"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/260319"}},{"articleId":247666,"title":"GED Science Extra Prep: Forms of Energy","slug":"ged-science-extra-prep-forms-energy","categoryList":["academics-the-arts","study-skills-test-prep","ged"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/247666"}},{"articleId":247664,"title":"GED Science Extra Prep: Cell Theory","slug":"ged-science-extra-prep-cell-theory","categoryList":["academics-the-arts","study-skills-test-prep","ged"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/247664"}},{"articleId":247661,"title":"GED Science Extra Prep: Earth's Layers and Landforms","slug":"ged-science-extra-prep-earths-layers-landforms","categoryList":["academics-the-arts","study-skills-test-prep","ged"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/247661"}},{"articleId":247659,"title":"GED Science Extra Prep: Space Science","slug":"ged-science-extra-prep-space-science","categoryList":["academics-the-arts","study-skills-test-prep","ged"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/247659"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":282227,"slug":"ged-test-1001-practice-questions-for-dummies","isbn":"9781119300984","categoryList":["academics-the-arts","study-skills-test-prep","ged"],"amazon":{"default":"https://www.amazon.com/gp/product/1119300983/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1119300983/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1119300983-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1119300983/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1119300983/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/ged-test-1001-practice-questions-for-dummies-cover-9781119300984-204x255.jpg","width":204,"height":255},"title":"GED Test","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p><b data-author-id=\"10956\">Stuart Donnelly, PhD,</b> earned his doctorate in mathe-matics from Oxford University at the age of 25. 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GED Math Extra Prep: Volume and Surface Area of Prisms

By: The Experts at Dummies and

Updated: 11-29-2017

From The Book: GED Test

GED Test

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The GED Math test will throw some geometry questions at you that involve three-dimensional shapes like prisms. Usually, they will be in the form of a cube or box, as in the following practice questions.

Practice Questions

A cube has a surface area of 216 square inches. What is its volume in cubic inches?
A. 6 B. 36 C. 108 D. 216
If these two boxes have the same volume, what is the height of the second box?
A. 4 B. 5 C. 8 D. 10

Answers and Explanations

The correct answer is D.
You can determine the surface area (SA) of a cube with the following equation, in which s is the length of a side:
SA = 6s²
You know the surface area equals 216 cubic inches, so you can substitute this into the equation for SA and solve for s:
216 = 6s²
Dividing both sides by 6 gives you
36 = s²
Hence, s = 6.
A cube is a special type of rectangular prism in which the length (l), the width (w), and the height (h) are all equal. The volume of a rectangular prism is given by
V = lwh
Substituting l = 6, w = 6, and h = 6 into the equation shows the volume equals 216 cubic inches. Hence, Choice (D) is the correct answer.
The correct answer is B.
The volume of a box (rectangular prism) is V = lwh, where l is the length, w is the width, and h is the height. Set the volumes of the two boxes equal to each other and solve for h:
Therefore, Choice (B) is the correct answer.

About This Article

This article is from the book:

GED Test ,

About the book author:

Stuart Donnelly, PhD, earned his doctorate in mathe-matics from Oxford University at the age of 25. Since then, he has established successful tutoring services in both Hong Kong and the United States and is considered by leading educators to be one of the most experienced and qualified private tutors in the country.

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