{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2018-02-13T02:02:54+00:00","modifiedTime":"2018-02-13T02:02:54+00:00","timestamp":"2022-09-14T18:16:15+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":"Math","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33720"},"slug":"math","categoryId":33720},{"name":"Basic Math","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33722"},"slug":"basic-math","categoryId":33722}],"title":"Pre-Algebra Practice Questions: Finding the Volume of Prisms and Cylinders","strippedTitle":"pre-algebra practice questions: finding the volume of prisms and cylinders","slug":"pre-algebra-practice-questions-finding-volume-prisms-cylinders","canonicalUrl":"","seo":{"metaDescription":"To find the volume of a prism or cylinder, you can use the following formula, where A b is the area of the base and h is the height: Practice questions Find the","noIndex":0,"noFollow":0},"content":"To find the volume of a prism or cylinder, you can use the following formula, where <em>A<sub>b</sub></em> is the area of the base and <em>h</em> is the height:\r\n\r\n<img class=\"alignnone size-full wp-image-249965\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_3401.gif\" alt=\"PREALGEBRA_3401\" width=\"75\" height=\"27\" />\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n \t<li>Find the volume of a prism with a base that has an area of 6 square centimeters and a height of 3 centimeters.</li>\r\n \t<li>Figure out the approximate volume of a cylinder whose base has a radius of 7 millimeters and whose height is 16 millimeters.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li>18 cubic centimeters\r\n<img class=\"alignnone size-full wp-image-249966\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_3402.gif\" alt=\"PREALGEBRA_3402\" width=\"244\" height=\"28\" /></li>\r\n \t<li>Approximately 2,461.76 cubic millimeters\r\n\r\nFirst, use the area formula for a circle to find the area of the base:\r\n\r\n<img class=\"alignnone size-full wp-image-249967\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_3403.gif\" alt=\"PREALGEBRA_3403\" width=\"144\" height=\"120\" />\r\n\r\nPlug this result into the formula for the volume of a cylinder:\r\n\r\n<img class=\"alignnone size-full wp-image-249968\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_3404.gif\" alt=\"PREALGEBRA_3404\" width=\"185\" height=\"84\" /></li>\r\n</ol>","description":"To find the volume of a prism or cylinder, you can use the following formula, where <em>A<sub>b</sub></em> is the area of the base and <em>h</em> is the height:\r\n\r\n<img class=\"alignnone size-full wp-image-249965\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_3401.gif\" alt=\"PREALGEBRA_3401\" width=\"75\" height=\"27\" />\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n \t<li>Find the volume of a prism with a base that has an area of 6 square centimeters and a height of 3 centimeters.</li>\r\n \t<li>Figure out the approximate volume of a cylinder whose base has a radius of 7 millimeters and whose height is 16 millimeters.</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n \t<li>18 cubic centimeters\r\n<img class=\"alignnone size-full wp-image-249966\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_3402.gif\" alt=\"PREALGEBRA_3402\" width=\"244\" height=\"28\" /></li>\r\n \t<li>Approximately 2,461.76 cubic millimeters\r\n\r\nFirst, use the area formula for a circle to find the area of the base:\r\n\r\n<img class=\"alignnone size-full wp-image-249967\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_3403.gif\" alt=\"PREALGEBRA_3403\" width=\"144\" height=\"120\" />\r\n\r\nPlug this result into the formula for the volume of a cylinder:\r\n\r\n<img class=\"alignnone size-full wp-image-249968\" src=\"https://www.dummies.com/wp-content/uploads/PREALGEBRA_3404.gif\" alt=\"PREALGEBRA_3404\" width=\"185\" height=\"84\" /></li>\r\n</ol>","blurb":"","authors":[{"authorId":9399,"name":"Mark Zegarelli","slug":"mark-zegarelli","description":" <b>Mark Zegarelli</b> is a professional writer with degrees in both English and Math from Rutgers University. He has earned his living for many years writing vast quantities of logic puzzles, a hefty chunk of software documentation, and the occasional book or film review. Along the way, he’s also paid a few bills doing housecleaning, decorative painting, and (for ten hours) retail sales. He likes writing best, though.","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9399"}}],"primaryCategoryTaxonomy":{"categoryId":33722,"title":"Basic Math","slug":"basic-math","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33722"}},"secondaryCategoryTaxonomy":{"categoryId":33726,"title":"Pre-Algebra","slug":"pre-algebra","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33726"}},"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":253710,"title":"Pre-Algebra Practice Questions: Comparing Fractions Using 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Pre-Algebra Practice Questions: Finding the Volume of Prisms and Cylinders

By: Mark Zegarelli and

Updated: 02-13-2018

From The Book: Basic Math & Pre-Algebra Workbook For Dummies with Online Practice

Basic Math & Pre-Algebra Workbook For Dummies with Online Practice

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To find the volume of a prism or cylinder, you can use the following formula, where A_b is the area of the base and h is the height:

Practice questions

Find the volume of a prism with a base that has an area of 6 square centimeters and a height of 3 centimeters.
Figure out the approximate volume of a cylinder whose base has a radius of 7 millimeters and whose height is 16 millimeters.

Answers and explanations

18 cubic centimeters
Approximately 2,461.76 cubic millimeters
First, use the area formula for a circle to find the area of the base:
Plug this result into the formula for the volume of a cylinder: