Answer:
Step-by-step explanation:
A prism has a uniform cross-section equal in area to its base area. The volume of a prism is the product of this cross-section area and the length between the parallel bases.
__
A pyramid or cone has a cross section whose linear dimension is directly proportional to the distance from the peak. The volume is 1/3 of the product of the base area and the height.
V = (1/3)Bh . . . . . formula for volume of a pyramid
__
Since the pyramid volume is 1/3 that of a prism with the same overall dimensions, the prism has 3 times the volume of the pyramid.
