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=(1)/(3)Bh.](https://img.qammunity.org/2019/formulas/mathematics/high-school/6bxnw88jzsle6xn60wygrnb7j57dmazqs3.png)