{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2017-05-01T04:43:45+00:00","modifiedTime":"2017-05-01T04:43:45+00:00","timestamp":"2022-09-14T18:18:40+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":"Teaching","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33800"},"slug":"teaching","categoryId":33800},{"name":"Skills Tests","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33806"},"slug":"skills-tests","categoryId":33806},{"name":"Praxis","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33807"},"slug":"praxis","categoryId":33807}],"title":"Practice Math Questions for Praxis: Prisms","strippedTitle":"practice math questions for praxis: prisms","slug":"practice-math-questions-praxis-prisms","canonicalUrl":"","seo":{"metaDescription":"Prisms weren't invented just to divide light into beautiful rainbows; they're also useful for inducing painful headaches when you're asked to find their surface","noIndex":0,"noFollow":0},"content":"Prisms weren't invented just to divide light into beautiful rainbows; they're also useful for inducing painful headaches when you're asked to find their surface area or volume on the Praxis Core exam.\r\n\r\nSwallow a headache tablet and try the following practice questions. In the first one, you have to find the surface area of a right rectangular prism. In the second one, you're asked to find the volume of a triangular prism.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li>The following figure is a right rectangular prism. What is its surface area?\r\n\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119263883-fg0147.gif\"><img class=\"alignnone wp-image-239122 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119263883-fg0147.gif\" alt=\"praxis-core-prisms\" width=\"300\" height=\"229\" /></a>\r\n\r\n<strong>A.</strong> 266 m<sup>2\r\n</sup><strong>B.</strong> 144 m<sup>2\r\n</sup><strong>C.</strong> 246 m<sup>2</sup>\r\n<strong>D.</strong> 432 m<sup>2</sup>\r\n<strong>E.</strong> 348 m<sup>2</sup></li>\r\n\t<li>A triangular prism has two triangular bases that both have an area of 19 square units. The prism has a height of 8 units. What is the volume of the prism?\r\n\r\n<strong>A.</strong> 604 cubic units\r\n<strong>B.</strong> 76 cubic units\r\n<strong>C.</strong> 27 cubic units\r\n<strong>D.</strong> 152 cubic units\r\n<strong>E.</strong> 228 cubic units</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li>The correct answer is Choice <strong>(E).\r\n\r\n</strong>The surface of any right prism is <em>Ph</em> + 2<em>B,</em> which is the product of the perimeter of a base and its corresponding height, plus twice the area of the base. Any face of a right rectangular prism can be considered a base, and what you use for height must be the measure of a segment perpendicular to the face you decided to consider a base. For example, if you consider an 8 m-by-9 m face a base for the right rectangular prism in this problem, you must consider 6 m to be the height. In that case, the other 8 m-by-9 m face is also a base.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3201.gif\"><img class=\"alignnone size-full wp-image-239094\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3201.gif\" alt=\"PRAXIS_3201\" width=\"221\" height=\"124\" /></a>\r\n\r\nThe surface area of the right rectangular prism is 348 m<sup>2</sup>.</li>\r\n\t<li>The correct answer is Choice<strong> (D).\r\n\r\n</strong>The volume of any prism is <em>Bh</em>, or base area times the height:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3202.gif\"><img class=\"alignnone size-full wp-image-239095\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3202.gif\" alt=\"PRAXIS_3202\" width=\"81\" height=\"71\" /></a>\r\n\r\nThe volume of the prism is 152 cubic units.</li>\r\n</ol>","description":"Prisms weren't invented just to divide light into beautiful rainbows; they're also useful for inducing painful headaches when you're asked to find their surface area or volume on the Praxis Core exam.\r\n\r\nSwallow a headache tablet and try the following practice questions. In the first one, you have to find the surface area of a right rectangular prism. In the second one, you're asked to find the volume of a triangular prism.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li>The following figure is a right rectangular prism. What is its surface area?\r\n\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119263883-fg0147.gif\"><img class=\"alignnone wp-image-239122 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119263883-fg0147.gif\" alt=\"praxis-core-prisms\" width=\"300\" height=\"229\" /></a>\r\n\r\n<strong>A.</strong> 266 m<sup>2\r\n</sup><strong>B.</strong> 144 m<sup>2\r\n</sup><strong>C.</strong> 246 m<sup>2</sup>\r\n<strong>D.</strong> 432 m<sup>2</sup>\r\n<strong>E.</strong> 348 m<sup>2</sup></li>\r\n\t<li>A triangular prism has two triangular bases that both have an area of 19 square units. The prism has a height of 8 units. What is the volume of the prism?\r\n\r\n<strong>A.</strong> 604 cubic units\r\n<strong>B.</strong> 76 cubic units\r\n<strong>C.</strong> 27 cubic units\r\n<strong>D.</strong> 152 cubic units\r\n<strong>E.</strong> 228 cubic units</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li>The correct answer is Choice <strong>(E).\r\n\r\n</strong>The surface of any right prism is <em>Ph</em> + 2<em>B,</em> which is the product of the perimeter of a base and its corresponding height, plus twice the area of the base. Any face of a right rectangular prism can be considered a base, and what you use for height must be the measure of a segment perpendicular to the face you decided to consider a base. For example, if you consider an 8 m-by-9 m face a base for the right rectangular prism in this problem, you must consider 6 m to be the height. In that case, the other 8 m-by-9 m face is also a base.\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3201.gif\"><img class=\"alignnone size-full wp-image-239094\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3201.gif\" alt=\"PRAXIS_3201\" width=\"221\" height=\"124\" /></a>\r\n\r\nThe surface area of the right rectangular prism is 348 m<sup>2</sup>.</li>\r\n\t<li>The correct answer is Choice<strong> (D).\r\n\r\n</strong>The volume of any prism is <em>Bh</em>, or base area times the height:\r\n\r\n<a href=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3202.gif\"><img class=\"alignnone size-full wp-image-239095\" src=\"https://www.dummies.com/wp-content/uploads/PRAXIS_3202.gif\" alt=\"PRAXIS_3202\" width=\"81\" height=\"71\" /></a>\r\n\r\nThe volume of the prism is 152 cubic units.</li>\r\n</ol>","blurb":"","authors":[{"authorId":9383,"name":"Carla Kirkland","slug":"carla-kirkland","description":"","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9383"}},{"authorId":9384,"name":"Chan Cleveland","slug":"chan-cleveland","description":" <p><b>Carla C. 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Practice Math Questions for Praxis: Prisms

By: Carla Kirkland and Chan Cleveland and

Updated: 05-01-2017

From The Book: Praxis Core: 1,001 Practice Questions For Dummies

Praxis Core: 1,001 Practice Questions For Dummies

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Prisms weren't invented just to divide light into beautiful rainbows; they're also useful for inducing painful headaches when you're asked to find their surface area or volume on the Praxis Core exam.

Swallow a headache tablet and try the following practice questions. In the first one, you have to find the surface area of a right rectangular prism. In the second one, you're asked to find the volume of a triangular prism.

Practice questions

The following figure is a right rectangular prism. What is its surface area?

A. 266 m²B. 144 m²C. 246 m² D. 432 m² E. 348 m²
A triangular prism has two triangular bases that both have an area of 19 square units. The prism has a height of 8 units. What is the volume of the prism?
A. 604 cubic units B. 76 cubic units C. 27 cubic units D. 152 cubic units E. 228 cubic units

Answers and explanations

The correct answer is Choice (E).
The surface of any right prism is Ph + 2B, which is the product of the perimeter of a base and its corresponding height, plus twice the area of the base. Any face of a right rectangular prism can be considered a base, and what you use for height must be the measure of a segment perpendicular to the face you decided to consider a base. For example, if you consider an 8 m-by-9 m face a base for the right rectangular prism in this problem, you must consider 6 m to be the height. In that case, the other 8 m-by-9 m face is also a base.
The surface area of the right rectangular prism is 348 m².
The correct answer is Choice (D).
The volume of any prism is Bh, or base area times the height:
The volume of the prism is 152 cubic units.

About This Article

This article is from the book:

Praxis Core: 1,001 Practice Questions For Dummies ,

About the book authors:

Carla Kirkland, founder and CEO of the Kirkland Group, an educational consulting firm, has helped educators prepare their students for standardized tests for more than 20 years.

Chan Cleveland, executive vice president of the Kirkland Group, is an English educator who has developed language arts resources for multiple school districts.

This article can be found in the category:

Praxis ,