Question
there is a rectangular prism and pyramaid with congruent bases and height. if the volume of the pyramaid is 48 in 3, what is the volume of the prism
Answers
Answered by
GPT 3.5
Since the pyramid and rectangular prism have congruent bases and height, they are similar figures.
The volume of a pyramid is given by the formula V = (1/3) * base area * height.
The volume of a rectangular prism is given by the formula V = base area * height.
Since the base areas and heights are the same for both the pyramid and prism, the volume of the prism is 3 times the volume of the pyramid.
So, the volume of the prism is 3 * 48 in^3 = 144 in^3.
The volume of a pyramid is given by the formula V = (1/3) * base area * height.
The volume of a rectangular prism is given by the formula V = base area * height.
Since the base areas and heights are the same for both the pyramid and prism, the volume of the prism is 3 times the volume of the pyramid.
So, the volume of the prism is 3 * 48 in^3 = 144 in^3.