A prism and a pyramid both have these rectangular bases if both shapes have the same height and the same volume of the prism is 600 ft cubed what is the volume of the pyramid

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 both the prism and pyramid have the same height and rectangular bases, they will have the same base area. Let's denote the base area of the prism as B.

The volume of the prism is given as 600 ft cubed:
V_prism = B*h = 600

Since the prism and pyramid have the same base area, the volume of the pyramid can be expressed in terms of the volume of the prism:
V_pyramid = (1/3)*V_prism = (1/3)*600 = 200 ft cubed

Therefore, the volume of the pyramid is 200 ft cubed.