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

Answer:

The height of the pyramid is 7 feet

Step-by-step explanation:

Let h represent the height of the pyramid

Volume of a pyramid is given by

$V = \frac{1}{3} \times area \: of \: base \: \times height$

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

$84 = \frac{1}{3} \times 36 \times h$

84 = 12h

Divide both sides by 12

h = 7 feet

The height of the pyramid is 7 feet

Hope this helps you