Question
There is a rectangular prism and a pyramid with congruent bases and height if the volume of the pyramid is 48 in cubed what is the volume of the prism
Answers
GPT 3.5
Since the base of the pyramid is congruent to the base of the prism, the area of the base of the prism is the same as the area of the base of the pyramid.
Let the area of the base be A, and the height of the prism be h.
The volume of a prism is given by V = A*h.
Since the volume of the pyramid is 48 in cubed, we have:
(1/3)*A*h = 48
Multiplying both sides by 3 gives:
A*h = 144
Therefore, the volume of the prism is 144 in cubed.
Let the area of the base be A, and the height of the prism be h.
The volume of a prism is given by V = A*h.
Since the volume of the pyramid is 48 in cubed, we have:
(1/3)*A*h = 48
Multiplying both sides by 3 gives:
A*h = 144
Therefore, the volume of the prism is 144 in cubed.