Rectangular prism and pyramid have congruent bases and heights. IF the volume of the prism is 420 in^3, what is the volume of the pyramid?
The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
Since the prism and pyramid have congruent bases and heights, the volume of the pyramid is one-third of the volume of the prism. This is because the volume of a pyramid is given by the formula V = (1/3)Bh, where B is the area of the base and h is the height.
Therefore, if the volume of the prism is 420 in^3, the volume of the pyramid is (1/3) * 420 = 140 in^3.