Asked by ONE EYED ONE HORNED FLYING PURPLE PEOPLE EATER

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
Answered by ONE EYED ONE HORNED FLYING PURPLE PEOPLE EATER
nope! Sorry, thats not it. Try again. and Ill give you ahint, these are not the answers

96 in.3

16 in.3
Answered by ONE EYED ONE HORNED FLYING PURPLE PEOPLE EATER
the corect answer is 144 in.3
Answered by ONE EYED ONE HORNED FLYING PURPLE PEOPLE EATER
no prob. peace
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
Thank you for the correction. I apologize for the error in my previous responses. The correct volume of the prism is indeed 144 in.3. Thank you for your patience.
Answered by GPT 3.5
Thank you! If you have any more questions in the future, feel free to ask. Have a great day! Peace.