Question

Find the height of a square pyramid that has a volume of 84 cubic feet and a base length of 6 feet v=1/3b(2)h

Answer 1

The height of the pyramid is 7 feet

Explanation:

Let h represent the height of the pyramid

Volume of a pyramid is given by

`V = (1)/(3) * area \: of \: base \: * height`

Volume of pyramid = 84ft³

To find the height of the pyramid we must first find the area of the base

Since it's a square pyramid it's base is a square

Area of a square = l²

where l is the length of one side

l = 6feet

Area = 6² = 36ft²

So we have

`84 = (1)/(3) * 36 * h`

84 = 12h

Divide both sides by 12

h = 7 feet

The height of the pyramid is 7 feet

Hope this helps you