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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.?, what is the volume of the pyramid?
(1 point)
• 200 ft.3
• 400 ft. 3
O 600 ft.3
O 1,800 ft. 3
To find the volume of the pyramid, we can use the formula for the volume of a pyramid which is 1/3 * base area * height.
Since the prism and pyramid both have the same triangular base, we can assume that the base area of the pyramid is the same as the base area of the prism. Therefore, the base area of the pyramid is also 600 ft^2.
Given that both shapes have the same height, we can substitute the base area and height into the formula for the volume of the pyramid:
Volume of the pyramid = 1/3 * 600 ft^2 * 6 ft
Volume of the pyramid = 200 ft^3
Therefore, the volume of the pyramid is 200 ft^3.
So, the correct answer is:
- 200 ft^3