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

  1. Find the volume of the right square pyramid:


    A. 450 cm3 B. 500 cm3 C. 1,500 cm3 D. 150 cm3

  2. Find the volume:


    A. 960 mm3 B. 480 mm3 C. 120 mm3 D. 840 mm3

Answers and explanations

  1. 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:


  2. 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:


About This Article

This article is from the book:

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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