Question

A prism can hold 45 gallons of water. How many gallons of water can a pyramid with the same base and height hold?

Answer 1

15 gallons

Explanation:

we know that

The volume of a prism is equal to

`V=Bh`

where

B is the area of the base

h is the height

we have

`Bh=45\ gal` ----> equation A

The volume of the cone with the same base and height is equal to

`V=(1)/(3)Bh`

substitute equation A in the volume of the cone

`V=(1)/(3)(45)=15\ gal`