Use the image to answer the question.
An illustration shows a triangle with its base as 20 feet and its perpendicular height as 6 feet.
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
600 ft.3
600 ft. cubed
200 ft.3
200 ft. cubed
1,800 ft.3
1,800 ft. cubed
400 ft.3
400 ft. cubed
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The volume of a pyramid is one-third of the volume of a prism with the same base and height. Since the volume of the prism is 600 ft^3, the volume of the pyramid is 1/3 of 600 ft^3 which is 200 ft^3.
Therefore, the correct answer is 200 ft^3.