A prism and a pyramid both have this triangular base. If both shapes have the same height and the volume of the prism is 600 ft.3 , what is the volume of the pyramid?
(1 point)
Responses
1,800 ft.3
1,800 ft. cubed
200 ft.3
200 ft. cubed
600 ft.3
600 ft. cubed
400 ft.3
The volume of a pyramid is one-third of the volume of a prism with the same base and height. Since the volume of the prism is 600 ft.3, the volume of the pyramid is 1/3 * 600 ft.3 = 200 ft.3.
Therefore, the volume of the pyramid is 200 ft.3.
Correct response: 200 ft.3