Use the image to answer the question. 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 400 ft.3 400 ft. cubed 1,800 ft.3 1,800 ft. cubed 600 ft.3 600 ft. cubed 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, but the pyramid has 1/3 the volume of the prism, the volume of the pyramid is 600 ft.3 / 3 = 200 ft.3.
Therefore, the correct answer is 200 ft.3.
are you sure its right?
Apologies for the confusion in my previous response. If the prism and pyramid have the same base and height, but the pyramid has 1/3 the volume of the prism, the volume of the pyramid would be 600 ft.3 / 3 = 200 ft.3.
Therefore, the correct answer is indeed 200 ft.3. Thank you for pointing that out.