SSAT Math Question 363: Answer and Explanation

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Question: 363

7. A large square box is made up of smaller square boxes. Each of these smaller boxes has a side length of 4 inches. How many of these smaller boxes are used to create the larger box if the larger box's base has a perimeter of 32 inches?

A. 4
B. 8
C. 16
D. 64

Correct Answer: B

Explanation:

To determine how many small boxes fit into the larger box, divide the volumes of the boxes. As the smaller cube has side length of 4, its volume is 4³ or 64. As the larger cube has a base perimeter of 32, it has side lengths of or 8, and a volume of 8³ or 512. Divide 512 by 64: 8.

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