{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2017-07-16T18:08:56+00:00","modifiedTime":"2017-07-16T18:08:56+00:00","timestamp":"2022-09-14T18:19:23+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":"Armed Services","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33776"},"slug":"armed-services","categoryId":33776}],"title":"ASVAB Mathematics Knowledge Practice: Volume","strippedTitle":"asvab mathematics knowledge practice: volume","slug":"asvab-mathematics-knowledge-practice-volume","canonicalUrl":"","seo":{"metaDescription":"On the Mathematics Knowledge subtest on the ASVAB, questions involving three-dimensional figures may jump off the screen at any time. You should be ready for th","noIndex":0,"noFollow":0},"content":"On the Mathematics Knowledge subtest on the ASVAB, questions involving three-dimensional figures may jump off the screen at any time. You should be ready for them by memorizing the volume formulas for the most common 3D figures, like spheres, cubes, and pyramids.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li>Find the volume of the right square pyramid:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119291480-un0353.gif\"><img class=\"alignnone size-full wp-image-242227\" src=\"https://www.dummies.com/wp-content/uploads/9781119291480-un0353.gif\" alt=\"asvab-pyramid\" width=\"400\" height=\"336\" /></a>\r\n\r\n<strong>A.</strong> 450 cm<sup>3</sup>\r\n<strong>B.</strong> 500 cm<sup>3</sup>\r\n<strong>C.</strong> 1,500 cm<sup>3</sup>\r\n<strong>D.</strong> 150 cm<sup>3</sup></li>\r\n\t<li>Find the volume:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119291480-un0354.gif\"><img class=\"alignnone size-full wp-image-242228\" src=\"https://www.dummies.com/wp-content/uploads/9781119291480-un0354.gif\" alt=\"asvab-volume\" width=\"350\" height=\"419\" /></a>\r\n\r\n<strong>A.</strong> 960 mm<sup>3</sup>\r\n<strong>B.</strong> 480 mm<sup>3</sup>\r\n<strong>C.</strong> 120 mm<sup>3</sup>\r\n<strong>D.</strong> 840 mm<sup>3</sup></li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li>The correct answer is <strong>Choice (B).</strong>\r\n\r\nThe formula for the volume of a pyramid is\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_2101.gif\"><img class=\"alignnone size-full wp-image-242229\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_2101.gif\" alt=\"ASVAB_2101\" width=\"69\" height=\"45\" /></a>\r\n\r\nwhere <em>B</em> is the area of the pyramid's base and <em>h</em> is the pyramid's height. You're dealing with a right square pyramid, so the base is a square. Because a square has an area of <em>A</em> = <em>s</em><sup>2</sup> (where <em>s</em> is the length of one side of the base), you can write the formula as\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_2102.gif\"><img class=\"alignnone size-full wp-image-242230\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_2102.gif\" alt=\"ASVAB_2102\" width=\"71\" height=\"45\" /></a>\r\n\r\nReplace the variables with the numbers you know:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_2103.gif\"><img class=\"alignnone size-full wp-image-242231\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_2103.gif\" alt=\"ASVAB_2103\" width=\"112\" height=\"153\" /></a></li>\r\n\t<li>The correct answer is <strong>Choice (A).\r\n\r\n\r\n</strong>The formula for volume of a right rectangular prism is <em>V</em> = <em>lwh</em>, with <em>l</em> representing length, <em>w</em> representing width, and <em>h</em> representing height:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_2104.gif\"><img class=\"alignnone size-full wp-image-242232\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_2104.gif\" alt=\"ASVAB_2104\" width=\"88\" height=\"65\" /></a></li>\r\n</ol>","description":"On the Mathematics Knowledge subtest on the ASVAB, questions involving three-dimensional figures may jump off the screen at any time. You should be ready for them by memorizing the volume formulas for the most common 3D figures, like spheres, cubes, and pyramids.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li>Find the volume of the right square pyramid:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119291480-un0353.gif\"><img class=\"alignnone size-full wp-image-242227\" src=\"https://www.dummies.com/wp-content/uploads/9781119291480-un0353.gif\" alt=\"asvab-pyramid\" width=\"400\" height=\"336\" /></a>\r\n\r\n<strong>A.</strong> 450 cm<sup>3</sup>\r\n<strong>B.</strong> 500 cm<sup>3</sup>\r\n<strong>C.</strong> 1,500 cm<sup>3</sup>\r\n<strong>D.</strong> 150 cm<sup>3</sup></li>\r\n\t<li>Find the volume:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119291480-un0354.gif\"><img class=\"alignnone size-full wp-image-242228\" src=\"https://www.dummies.com/wp-content/uploads/9781119291480-un0354.gif\" alt=\"asvab-volume\" width=\"350\" height=\"419\" /></a>\r\n\r\n<strong>A.</strong> 960 mm<sup>3</sup>\r\n<strong>B.</strong> 480 mm<sup>3</sup>\r\n<strong>C.</strong> 120 mm<sup>3</sup>\r\n<strong>D.</strong> 840 mm<sup>3</sup></li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li>The correct answer is <strong>Choice (B).</strong>\r\n\r\nThe formula for the volume of a pyramid is\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_2101.gif\"><img class=\"alignnone size-full wp-image-242229\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_2101.gif\" alt=\"ASVAB_2101\" width=\"69\" height=\"45\" /></a>\r\n\r\nwhere <em>B</em> is the area of the pyramid's base and <em>h</em> is the pyramid's height. You're dealing with a right square pyramid, so the base is a square. Because a square has an area of <em>A</em> = <em>s</em><sup>2</sup> (where <em>s</em> is the length of one side of the base), you can write the formula as\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_2102.gif\"><img class=\"alignnone size-full wp-image-242230\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_2102.gif\" alt=\"ASVAB_2102\" width=\"71\" height=\"45\" /></a>\r\n\r\nReplace the variables with the numbers you know:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_2103.gif\"><img class=\"alignnone size-full wp-image-242231\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_2103.gif\" alt=\"ASVAB_2103\" width=\"112\" height=\"153\" /></a></li>\r\n\t<li>The correct answer is <strong>Choice (A).\r\n\r\n\r\n</strong>The formula for volume of a right rectangular prism is <em>V</em> = <em>lwh</em>, with <em>l</em> representing length, <em>w</em> representing width, and <em>h</em> representing height:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/ASVAB_2104.gif\"><img class=\"alignnone size-full wp-image-242232\" src=\"https://www.dummies.com/wp-content/uploads/ASVAB_2104.gif\" alt=\"ASVAB_2104\" width=\"88\" height=\"65\" /></a></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":33776,"title":"Armed Services","slug":"armed-services","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33776"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[{"label":"Practice 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ASVAB Mathematics Knowledge Practice: Volume

By: The Experts at Dummies and

Updated: 07-16-2017

From The Book: ASVAB AFQT

ASVAB AFQT

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On the Mathematics Knowledge subtest on the ASVAB, questions involving three-dimensional figures may jump off the screen at any time. You should be ready for them by memorizing the volume formulas for the most common 3D figures, like spheres, cubes, and pyramids.

Practice questions

Find the volume of the right square pyramid:
A. 450 cm³ B. 500 cm³ C. 1,500 cm³ D. 150 cm³
Find the volume:
A. 960 mm³ B. 480 mm³ C. 120 mm³ D. 840 mm³

Answers and explanations

The correct answer is Choice (B).
The formula for the volume of a pyramid is
where B is the area of the pyramid's base and h is the pyramid's height. You're dealing with a right square pyramid, so the base is a square. Because a square has an area of A = s² (where s is the length of one side of the base), you can write the formula as
Replace the variables with the numbers you know:
The correct answer is Choice (A).
The formula for volume of a right rectangular prism is V = lwh, with l representing length, w representing width, and h representing height:

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ASVAB AFQT ,

About the book author:

Angie Papple Johnston joined the U.S. Army in 2006 as a Chemical, Biological, Radiological, and Nuclear specialist, ready to tackle chemical weapons in a Level- A HAZMAT suit. She's currently the CBRN noncommissioned officer-in-charge of an aviation battalion in Washington, D.C.

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Armed Services ,