Find the height of a square pyramid that has a volume of 32 cubic feet and a base length of 4 feet.

Solution:

Volume of a square pyramid is v = (a²h)/3 cubic feet

Where a = base edge, h = height

Given volume v = 32 cubic feet

Base length a = 4 feet

Height, h = 3v/a² = (3 × 32)/4²

= (3 × 32)/4 × 4

= 24/4 = 6

Thus height of the square pyramid = 6 feet

Find the height of a square pyramid that has a volume of 32 cubic feet and a base length of 4 feet.

Summary:

The height of a square pyramid that has a volume of 32 cubic feet and a base length of 4 feet is 6 feet.