Question

The volume of a rectangular prism is 62 ft3.If all of the dimensions of the rectangular prism are multiplied by a scale factor of 4 what is the volume of the new rectangular prism?

Answer 1

`3968 ft^3`

Explanation:

To calculate the volume of a prism, the dimensions needed are length, breadth and height.

The volume of a prism is:

V = L * B * H

Therefore, if all the dimensions are increased by a scale factor of 4, then, the new dimensions will be 4L, 4B and 4H.

The volume of the former prism was:

`V = L*B*H = 62 ft^3`

Therefore, the volume of the new prism is:

`4L * 4B * 4H = 64 (L * B * H) = 64 * 62 = 3968 ft^3`