Question

A right square prism has a volume of 75 cubic inches. The prism is enlarged so its height is increased by a factor of 5, but the other dimensions do not change. What is the new volume? A. B. C. D.

Answer 1

Answer:

The new volume is 375 cubic inches.

Step-by-step explanation:

Volume of a right square prism:

The volume of a right square prism is given by:

$V = a^2h$

In which a is the length of the edge and h is the height.

A right square prism has a volume of 75 cubic inches.

This means that:

$a^2h = 75$

The prism is enlarged so its height is increased by a factor of 5

Edge is the same, height is 5 times. So

$a^2(5h) = 5(a^2h) = 5*75 = 375$

The new volume is 375 cubic inches.