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
The volume of the pyramid is 1800 ft.3.
Therefore, the answer is: 1800 ft.3.
The volume of a prism is given by the formula V = (1/2)bh, where b is the base area and h is the height. Since both the prism and pyramid have the same base and height, their volumes are proportional to their base areas.
Since the base of both shapes is a triangle, the area of the base of the prism is half the area of the base of the pyramid. Therefore, the volume of the pyramid would be 2 times the volume of the prism.
V(pyramid) = 2 * V(prism) = 2 * 600 ft.3 = 1200 ft.3
Therefore, the volume of the pyramid is 1200 ft.3.
pick the answer from this list 1800 ft 3
400 ft 3
600 ft 3
200 ft 3