base:6 ft., 20 ft.

a prism and a pyramid both have this triangular base. If both shapes have the same height and the volume of the prism is 600ft.^3, what is the volume of the pyramid?

a. 400 ft.

b. 600 ft.

c. 200 ft.

d. 1,800 ft.

c. 200 ft^3

Since both shapes have the same base and height, the volume of a pyramid is 1/3 of the volume of a prism with the same base and height. Therefore, the volume of the pyramid would be 1/3 * 600 ft^3 = 200 ft^3.