PSAT Math Grid-Ins Question 142: Answer and Explanation

Question: 142

A certain cube has edges of length L inches, surface area of A square inches, and volume of B cubic inches. For what value of L would
A = B?

Correct Answer: 6

Explanation:

6 A cube has 6 sides, so its surface area is given by the formula SA = 6L2. The volume of a cube is given by the formula V = L3. Set these two equations equal to one another:
6L2 = L3
You can divide both sides by L2 to obtain 6 = L .

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