A prism with a base area of 5 ft² and a height of 10 ft is dilated by a factor of 6/5. What is the volume of the dilated prism? Enter your answer, as a decimal, in the box.

First, you must find the original volume of the prism by applying the following formula:

V1=HxB

V1 is the original volume of the prism.

H is the height of the prism (H=10 ft).

B is the base are of the prism (B=5 ft2)

So, the original volume is:

V1=HxB

V1 = (10 ft) (5 ft2)

V1=50 ft2

When the prism is dilated by a factor of 6/5, its volume is:

V2 = (V1) * (6/5) ^3

V2 = (50 ft³) * (6/5) ^3

V2 = 86.4 ft³

What is the volume of the dilated prism?

The answer is: 86.4 ft³