Question

Drag and drop an answer to each box to correctly explain the derivation of the formula for the volume of a pyramid.

Answer 1

The volume of a prism is its base area times its height. If we compare this to the formula of the pyramid,we will see one is exactly a third of the other. This means that the volume of a pyramid is exactly one third the volume of the prism with the same base and height.

The volume of a pyramid is one-third the volume of a prism with the same base and height because the formula for volume of prism is V=B.h.where B is area of base and h is height.The formula for volume of pyramid is $V=\frac{1}{3}Bh.$

Answer 2

The volume of a pyramid is one-third the volume of a prism.

The formula for the volume of a pyramid is V = 1/3Bh