Question

A right prism has a volume of 65 cubic inches. The prism is enlarged so its height is increased by a factor of 20, but the other dimensions do not change. What is the new volume? A.1000 in .3 B.1300 in .3 C.1200 in. 3 D. 1100 in.3

Answer 1

Volume of a right prism = 65 cubic inches

Its height is increased by a factor of 20.

To find:

The new volume of the prism if the other dimensions do not change.

Solution:

The volume of a prism is:

`Volume=Bh`

Where, B is the base area and h is the height.

A right prism has a volume of 65 cubic inches.

`65=Bh`

The height of prism is increased by a factor of 20. So, the new volume is:

`Volume=B(20h)`

`Volume=20(Bh)`

`Volume=20(65)`

`Volume=1300`

The volume of the new prism is 1300 in³.

Therefore, the correct option is B.