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

Answer:

15 gallons

Step-by-step 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

$V=\frac{1}{3}Bh$

substitute equation A in the volume of the cone

$V=\frac{1}{3}(45)=15\ gal$