Question

A pyramid and prism have the same base area and height. The prism's base area is 8 square units and its height is 16 units. What is the volume of the pyramid? The volume of the pyramid is __________ cubic units. Enter the number that correctly fills in the blank in the previous sentence.

Answer 1

Prism dimensions:
8 units² (base area)
16 units (height)

Because the dimensions are the same...

Pyramid dimensions:
8 units² (base area)
16 units (height)

The volume for a pyramid = 1/3 ba * h

Substitute and solve.

   1/3 8 * 16
= 1/3 (128)
= 42.66...

Therefore the volume is approximately 42.67cm³