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

Answer:

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

Step-by-step 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):

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

$3969=a^{2}\times \frac{21}{3}$

$3969= a^{2}\times 7$

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.