A square pyramid has a height of 9 units and a volume of 147 units cubed. If a square prism has the same base area and volume as the square pyramid, what is its height? A. 1 unit B. 3 unts C. 6 units D. 9 units

Volume of a square pyramid is:

Volume = area of base x h/3

The base are of the pyramid would be:

147 = base x 9/3

147 = base x 3

Base = 147/3

Base = 49 square units.

For a square to have a base area of 49 and volume of 147 divide the volume by the base area to find height:

Height = 147 / 49 = 3

The answer is B. 3 units