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?
1800 ft. 3
400 ft. 3
600 ft. 3
200 ft. 3.
200 ft. 3
The volume of a prism is given by the formula V = Bh, where B is the area of the base and h is the height. Since the prism and pyramid have the same base and height, the volume of the pyramid will be 1/3 of the volume of the prism.
Therefore, the volume of the pyramid is 1/3 * 600 ft.3 = 200 ft.3.