Question

It takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box

which holds 15 cups of sugar. Double the dimensions of the box. Approximately how
much paint would the new box need? How much sugar would it hold?​

Answer 1

120 cups of sugar

8 ounces of paint

Explanation:

Given that :

To cover all sides of the rectangular prism with paint, that is the surface area.

The amount of sugar held by the prism is function of its volume.

Hence, doubling the dimension :

The surface area, in unit² is a obtained by

Initial paint required * 2^2

2 * 2² = 2 * 4 = 8 ounces of paint.

For sugar :

It has to do with volume, unit³

Initial * double³

15 * 2³

15 * (8) = 120 cups of sugar