Question

The company also wants to offer a family size box of cereal. The family size box will be a dilation of the single serving 1. 2-ounce box. It must contain 18. 75 ounces of cereal. What scale factor does the company need to use for the family size box?.

Answer 1

2.5

Explanation:

The relative volumes of the two similar boxes will be related by the cube of the dilation factor. That means the dilation factor (d) satisfies ...

1.2d³ = 18.75

d³ = 15.625 . . . . . divide by 1.2

d = 2.5 . . . . . . . . take the cube root

The scale factor the company needs to use is 2.5.