There is a rectangular prism and pyramid with congruent bases and height. If the volume of the pyramid is 48 in.3
, what is the volume of the prism?
Responses
96 in.3
96 in.3
16 in.3
16 in.3
24 in.3
144 in.3
96 in.3
Since the prism and pyramid have congruent bases and height, their volumes are proportional. The volume of a pyramid is one-third the volume of the corresponding prism with the same base and height.
Therefore, if the volume of the pyramid is 48 in.3, then the volume of the corresponding prism is 3 times that, which is 48 in.3 * 3 = 96 in.3.
nope! Sorry, thats not it. Try again. and Ill give you ahint, these are not the answers
96 in.3
16 in.3
The correct answer is:
96 in.3
Given that the volume of the pyramid is 48 in.3, and it has the same base and height as the prism, the volume of the prism will be 3 times that of the pyramid. Therefore, 48 in.3 * 3 = 144 in.3 for the prism.