Question

Two boxes have the same volume. One box has a base that is 22 inches by 22 inches. The other box has a base that is 44 inches by 44 inches. How many times as tall is the box with the smaller base?

Answer 1

4 times

Explanation:

Volume formula

V = w * l * h

Given: the two boxes have the same volume

Let h1 = the height of the box with smaller base and h2 = the height of the box with bigger base

So

(22)(22) h1 = (44)(44) h2

484 h1 = 1936 h2

Divide both sides by 484

484 h1/484 = 1936 h2 / 484

Simplifying

h1 = 4 h2

Answer: The height of the box with smaller base is 4 times as tall than the height of the box with bigger base