Question

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

Answer 1

6 ft

Explanation:

Volume of the pyramid:

• V= lwh/3, where l- base length, w- base width, h- height

Given

• V= 32 ft³
• l=w= 4 ft
• h=?

Then, as per formula, we can solve it for h:

• 32= 4×4×h/3
• h= 32×3/16
• h= 6 ft

Height of the pyramid is 6 ft

Answer 2

The volume of a square pyramid is found by multiplying the area of the base by the height divided by 3.

32 = 4^2 x h/3

32 = 16 x h/3

Multiply both sides by 3

96 = 16 x h

Divide both sides by 16

H = 96/16

H = 6

The height is 6 feet