Question

a triangular pyramid has a base length of 12 in and a base height of 8 inches. If the pyramid has a volume of 64 in, what is the height of the pyramid

Answer 1

4 in

Explanation:

The volume for a triangular pyramid is:

1/3AH = V

Let's first find the area of the base:

Area = 1/2bh = 1/2(12)(8)=48

Now we plug the area of the base and the volume back into the formula:

V = 1/3AH

64 = 1/3(48)(H)

64 = 16H

H = 4 in