PSAT Math Multiple-Choice Question 250: Answer and Explanation

Question: 250

A regular hexagonal pyramid has a base side length of 6 inches, an apothem of 3 inches, and a height of 15 inches. Find the volume in cubic inches.

• A. 108?
• B. 216?
• C. 512?
• D. 1,024?

Correct Answer: A

Explanation:

The correct solution is 108 Substitute the values into the formula and simplify using the order of operations, V = Bh = ( ap)h = ((3)(36))6 = 108 cubic inches. See Lesson: Measurement and Dimension.