{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2016-03-26T07:06:32+00:00","modifiedTime":"2017-02-08T16:23:02+00:00","timestamp":"2022-09-14T18:17:19+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 Practice Questions: Volume and Surface Area","strippedTitle":"ged math practice questions: volume and surface area","slug":"ged-math-practice-questions-volume-and-surface-area","canonicalUrl":"","seo":{"metaDescription":"The GED Mathematical Reasoning test is likely to ask a few questions that involve volume and surface area. When taking the computer version of the test, a formu","noIndex":0,"noFollow":0},"content":"<p>The GED Mathematical Reasoning test is likely to ask a few questions that involve volume and surface area. When taking the computer version of the test, a formula sheet is supplied, but you will have to know how to apply these formulas.</p>\r\n<p>The following sample questions ask you to find the diameter of a can based on its volume and height, and the slant length of a pyramid, given its side length and surface area.</p>\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol class=\"level-one\">\r\n <li><p class=\"first-para\">If a can is designed to contain 24 cubic inches of coconut water and has to be 6 inches tall to fit on the shelves in a store, what would be its diameter in inches?</p>\r\n<p class=\"child-para\"><b>A.</b> 1.72</p>\r\n<p class=\"child-para\"><b>B.</b> 1.27</p>\r\n<p class=\"child-para\"><b>C.</b> 1.79</p>\r\n<p class=\"child-para\"><b>D.</b> 2.26</p>\r\n </li>\r\n <li><p class=\"first-para\">A pyramid has a square base with one of its sides being 3 feet long and a total surface area of 39 square feet. What is the slant length of one of its sides? </p>\r\n </li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol class=\"level-one\">\r\n <li><p class=\"first-para\">D.</p>\r\n<p class=\"child-para\">The can would be 2.26 inches in diameter. Substituting in the formula for the volume of a right cylinder </p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506628.image0.png\" height=\"32\" alt=\"Formula for the volume of a right cylinder.\" width=\"80\"/>\r\n<p class=\"child-para\">divide both sides by 6 to simplify</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506629.image1.png\" height=\"99\" alt=\"four equals Pi multiplied by the square radius, or the square radius equals four divided by pi.\" width=\"303\"/>\r\n </li>\r\n <li><p class=\"first-para\">5 feet</p>\r\n<p class=\"child-para\">To answer this question, use the surface area formula for a pyramid, </p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506630.image2.png\" height=\"40\" alt=\"The surface area formula for a pyramid\" width=\"91\"/>\r\n<p class=\"child-para\">and plug in the values you have: The area of the base is</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506631.image3.png\" height=\"16\" alt=\"three times three equals nine.\" width=\"57\"/>\r\n<p class=\"child-para\">the perimeter is</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506632.image4.png\" height=\"16\" alt=\"three times four equals twelve.\" width=\"65\"/>\r\n<p class=\"child-para\">and the surface area is 39 square feet, so you have </p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506633.image5.png\" height=\"40\" alt=\"Replace the values you know in the surface area formula for a pyramid.\" width=\"105\"/>\r\n<p class=\"child-para\">Do the math:</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506634.image6.png\" height=\"109\" alt=\"do the math to find the value of s.\" width=\"127\"/>\r\n </li>\r\n</ol>","description":"<p>The GED Mathematical Reasoning test is likely to ask a few questions that involve volume and surface area. When taking the computer version of the test, a formula sheet is supplied, but you will have to know how to apply these formulas.</p>\r\n<p>The following sample questions ask you to find the diameter of a can based on its volume and height, and the slant length of a pyramid, given its side length and surface area.</p>\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol class=\"level-one\">\r\n <li><p class=\"first-para\">If a can is designed to contain 24 cubic inches of coconut water and has to be 6 inches tall to fit on the shelves in a store, what would be its diameter in inches?</p>\r\n<p class=\"child-para\"><b>A.</b> 1.72</p>\r\n<p class=\"child-para\"><b>B.</b> 1.27</p>\r\n<p class=\"child-para\"><b>C.</b> 1.79</p>\r\n<p class=\"child-para\"><b>D.</b> 2.26</p>\r\n </li>\r\n <li><p class=\"first-para\">A pyramid has a square base with one of its sides being 3 feet long and a total surface area of 39 square feet. What is the slant length of one of its sides? </p>\r\n </li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol class=\"level-one\">\r\n <li><p class=\"first-para\">D.</p>\r\n<p class=\"child-para\">The can would be 2.26 inches in diameter. Substituting in the formula for the volume of a right cylinder </p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506628.image0.png\" height=\"32\" alt=\"Formula for the volume of a right cylinder.\" width=\"80\"/>\r\n<p class=\"child-para\">divide both sides by 6 to simplify</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506629.image1.png\" height=\"99\" alt=\"four equals Pi multiplied by the square radius, or the square radius equals four divided by pi.\" width=\"303\"/>\r\n </li>\r\n <li><p class=\"first-para\">5 feet</p>\r\n<p class=\"child-para\">To answer this question, use the surface area formula for a pyramid, </p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506630.image2.png\" height=\"40\" alt=\"The surface area formula for a pyramid\" width=\"91\"/>\r\n<p class=\"child-para\">and plug in the values you have: The area of the base is</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506631.image3.png\" height=\"16\" alt=\"three times three equals nine.\" width=\"57\"/>\r\n<p class=\"child-para\">the perimeter is</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506632.image4.png\" height=\"16\" alt=\"three times four equals twelve.\" width=\"65\"/>\r\n<p class=\"child-para\">and the surface area is 39 square feet, so you have </p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506633.image5.png\" height=\"40\" alt=\"Replace the values you know in the surface area formula for a pyramid.\" width=\"105\"/>\r\n<p class=\"child-para\">Do the math:</p>\r\n<img src=\"https://www.dummies.com/wp-content/uploads/506634.image6.png\" height=\"109\" alt=\"do the math to find the value of s.\" width=\"127\"/>\r\n </li>\r\n</ol>","blurb":"","authors":[],"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":207472,"title":"GED Mathematical Reasoning Test For Dummies Cheat Sheet","slug":"ged-mathematical-reasoning-test-for-dummies-cheat-sheet","categoryList":["academics-the-arts","study-skills-test-prep","ged"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/207472"}},{"articleId":141846,"title":"10 Tips for Solving GED Mathematical Reasoning Problems and Checking Your Answers","slug":"10-tips-for-solving-ged-mathematical-reasoning-problems-and-checking-your-answers","categoryList":["academics-the-arts","study-skills-test-prep","ged"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/141846"}},{"articleId":141839,"title":"Recognizing the Skills Required to Pass the GED Mathematical Reasoning Test","slug":"recognizing-the-skills-required-to-pass-the-ged-mathematical-reasoning-test","categoryList":["academics-the-arts","study-skills-test-prep","ged"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/141839"}},{"articleId":141838,"title":"GED Mathematical Reasoning Test: Using the On-Screen Calculator","slug":"ged-mathematical-reasoning-test-using-the-on-screen-calculator","categoryList":["academics-the-arts","study-skills-test-prep","ged"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/141838"}},{"articleId":141836,"title":"5 Tips for Improving Reading Speed and Comprehension on the GED RLA","slug":"5-tips-for-improving-reading-speed-and-comprehension-on-the-ged-rla","categoryList":["academics-the-arts","study-skills-test-prep","ged"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/141836"}}],"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 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GED Math Practice Questions: Volume and Surface Area

Updated: 02-08-2017

From The Book: GED Mathematical Reasoning Test For Dummies

GED Mathematical Reasoning Test For Dummies

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The GED Mathematical Reasoning test is likely to ask a few questions that involve volume and surface area. When taking the computer version of the test, a formula sheet is supplied, but you will have to know how to apply these formulas.

The following sample questions ask you to find the diameter of a can based on its volume and height, and the slant length of a pyramid, given its side length and surface area.

Practice questions

If a can is designed to contain 24 cubic inches of coconut water and has to be 6 inches tall to fit on the shelves in a store, what would be its diameter in inches?

A. 1.72

B. 1.27

C. 1.79

D. 2.26
A pyramid has a square base with one of its sides being 3 feet long and a total surface area of 39 square feet. What is the slant length of one of its sides?

Answers and explanations

D.

The can would be 2.26 inches in diameter. Substituting in the formula for the volume of a right cylinder

divide both sides by 6 to simplify
5 feet

To answer this question, use the surface area formula for a pyramid,

and plug in the values you have: The area of the base is

the perimeter is

and the surface area is 39 square feet, so you have

Do the math:

About This Article

This article is from the book:

GED Mathematical Reasoning Test For Dummies ,

About the book authors:

Murray Shukyn, an acknowledged Canadian leader in alternative education, has taught at the elementary, secondary, and university levels and created adult training programs. Achim Krull has taught at high school and adult levels, and has written textbooks, teachers' guides, and numerous other learning materials.

This article can be found in the category:

GED ,