Question

Determine the height of a square pyramid with a volume of 225 cubic inches and a base edge of 5 inches.

Answer 1

h = 27 inches

Explanation:

Given that,

The volume of a square pyramid, V = 225 inches³

The base edge of a square pyramid, b = 5 inches

We need to find the height of a square pyramid. The formula for the volume of a square pyramid is given by :

`V=(1)/(3)B* h`

B is area of base, B = b²

So,

`h=(3V)/(b^2)\\\\h=(3* 225)/(5^2)\\\\h=27\ \text{inches}`

So, the height of the square pyramid is 27 inches.