Question

A rectangular pyramid and rectangular prism have the same base area and the same

height. What is true of their volumes?

A)The volume of the pyramid is three times the volume of the prism.

B)The volume of the pyramid is 1/3 the volume of the prism.

C)The volumes are the same.

D)The volume of the pyramid is 1/3 the volume of the prism.

Answer 1

The volume of the pyramid is 1/3 the volume of the prism.

Explanation:

Answer 2

B)The volume of the pyramid is 1/3 the volume of prism

Explanation:

We are given that

Bases of rectangular pyramid and rectangular prism are same

Height of both rectangular pyramid and rectangular prism are same.

We know that

Volume of rectangular pyramid =
`(1)/(3)bh`

Where b=Area of base

Volume of rectangular prism=
`bh`

Where b=Area of base

Volume of rectangular pyramid=
`(1)/(3)` volume of rectangular prism

Hence, the volume of pyramid is 1/3 times the volume of volume of rectangular prism.

Option B is true.