Question

A prism with a base area of 6 ft^2 and a height of 7 ft is dilated by a factor of 3/2.The volume of the dilated prism is ____ cubic feet.

Answer 1

The base area of the original prism is 6ft^2. If it is dilated by a scale factor of 3/2, then the base area of the dilated prism would be

6 x 3/2 = 9 ft^2

If the original height is 7ft, then the height of the dilated prism would be

3/2 x 7 = 10.5

The formula for determining the volume of a prism is

Volume = base area x height

Volume of dilated prism = 9 x 10.5 = 94.5 cubic feet