The relationship of the volume of the pyramid to the volume of prism: The volume of a pyramid is 1/3 the volume of a prism with the same base area and height.
In this question we need to find the relationship of the volume of the pyramid to the volume of prism.
The volume of a pyramid is ________ the volume of a prism with the same base area and height.
We know that the formula for the volume of pyramid.
V1 = 1/3 * base area * height
And the formula of the volume of prism is:
V2 = base area * height
We have been given a pyramid and prism have the same base area and height.
So, volume of pyramid = 1/3 * volume of prism
Consider a ratio the volume of the pyramid to the volume of prism.
(the volume of the pyramid) / (the volume of prism) = 1/3
Therefore, the volume of a pyramid is 1/3 the volume of a prism with the same base area and height.
Learn more about the volume of pyramid here:
https://brainly.com/question/17615619
#SPJ4