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. 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.

OR

Since the dimensions have a proportional relationship, the new volume can be calculated using the original volume and the scale factor.
The new volume is the original volume times the cube of the scale factor.
The new volume is 6,336 (1/64) = 99 cubic inches.