Question

The company makes a single serving cereal box that contains a volume of 1.2 ounces of cereal. They plan to make an extra large box for school cafeterias. The extra large box will be a dilation of the single serving box using a scale factor of 9/2

. How many ounces of cereal will the extra large box contain?

Answer 1

109.35 ounces

Explanation:

The scale factor is a linear scale factor.

The box is a three-dimensional solid, so the length, width, and height will be dilated by a factor of 9/2.

The volume factor is (9/2)³ = (4.5)³ = 91.125

The number of ounces is proportional to the volume.

1.2 ounces × 91.125 = 109.35 ounces