A prism and a pyramid both have a triangular base of 20ft. If both shapes have the same height of 6ft 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 400 ft.3 400 ft. cubed 200 ft.3 200 ft. cubed 600 ft.3

400 ft.3

explain

The volume of a prism is calculated using the formula V = Bh, where B is the area of the base and h is the height. So in this case, the volume of the prism is 600 ft.3.

600 = 20*20*6

600 = 400*6

600 = 2400

So, the area of the base of the prism is 400 ft.2 which gives us the answer

V = 1/3 * Bh = 1/3 * 400 * 6 = 1/3 * 2400 = 800 ft.3

Thus, the volume of the pyramid is 400 ft.3.