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)
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 both the prism and the pyramid have the same base and height, their volumes are directly proportional to the area of the base.
If the volume of the prism is 600 ft^3, then the volume of the pyramid is 1/3 of the volume of the prism, since a pyramid has 1/3 the volume of the corresponding prism with the same base and height.
Therefore, the volume of the pyramid is 600 ft^3 * 1/3 = 200 ft^3.