Question

The volume of a square pyramid is 75 cubic feet. The base area is 15 square feet. What is the height of the pyramid?

Answer 1

The height of the pyramid would be 15ft

Answer 2

Volume of square pyramid is given by:

$V = a^{2} \frac{h}{3}$

Where a² is area of base and h is height of pyramid.

We are given Volume of pyramid as 75 cubic feet and area of base of pyramid is 15 square feet.

So plugging these values in the formula for volume , we have,

$75 = 15 \frac{h}{3}$

dividing both sides by 15,

$3 = \frac{h}{3}$

multiplying both sides by 3 ,we have

h=6

So height of pyramid is 6 feet.