Question

A cardboard box has a volume that is 6,336 cubic inches. A company creates a new design with the same proportions, but instead the dimensions are One-fourth the dimensions. Explain how you can find the volume of the new design without knowing the dimensions.

Answer 1

Since the dimensions have a proportional relationship, the new volume can be calculated using the original volume and the scale factor. The new volume will be the cube of the change, which is 1

64

. The new volume is the product of 6,336 and 1

64

.

Explanation:

that is the sample answer.

Answer 2

Cube the scale factor 0.25. Then multiply the volume of the box by 0.015625.