Volume Unit Test
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Question
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
600 ft.3
600 ft. cubed
1,800 ft.3
1,800 ft. cubed
200 ft.3
We know that 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. Given that the prism has a volume of 600 ft.3 and the same base and height as the pyramid, the volume of the pyramid would be 1/3 of the volume of the prism. Therefore, the volume of the pyramid would be 200 ft.3.
Correct Response:
200 ft.3