Question

Given a square pyramid with a height of 21 feet and a volume of 3969 cubic feet, find the length of one side of the square base.

Answer 1

The length of one side of the square base is 24 feet.

Explanation:

Given:

Volume of square pyramid(V) = 3969 cubic feet, and its height(h) = 21 feet.

Now, we need to find the length of one side(a) of the square base.

So. by putting the formula of square pyramid we get our length of one side(a):

`V=a^(2)(h)/(3)`

`3969=a^(2)* (21)/(3)`

`3969= a^(2)* 7`

Dividing both sides by 7 we get:

`567=a^(2)`

Using square root both sides we get:

`23.81=a`

a = 24 feet (approximately).

Therefore, the length of one side of the square base is 24 feet.