Question

Find the height of each pyramid: square pyramid: volume 225 cubic inches, base edge 5 inches.

Please Help

Answer 1

The height of the pyramid is
`27\ in`

Explanation:

we know that

The volume of the square pyramid is equal to

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

where

B is the area of the square base of the pyramid

h is the height of the pyramid

Find the area of the base B

`B=5^(2)=25\ in^(2)` -----> is a square

we have

`V=225\ in^(3)`

substitute the values in the formula and solve for h

`225=(1)/(3)(25)h`

`h=225*3/25`

`h=27\ in`