Two boxes have the same volume. One box has a base that is 5 cm by 5 cm. The other box has a base that is 10 cm by 10 cm. How many times as tall is the box with the smaller base?

Answer 1

volume of the first box: 5 * 5 * height1

volume of the second box: 10 * 10 * height2

The volume of both boxes is equal so:

5 * 5 * height1 = 10 * 10 * height2

25 * height1 = 100 * height2

height1 = 4 * height2

The first box with the smaller base is 4 times as tall as the second box with the larger base.