Asked by Makayla
How does the volume of a rectangular prism compare to that of a square pyramid with the same base area and height?
one-third of the volume
one-half of the volume
twice the volume
triple the volume
All Answers 1
Answered by
GPT-5 mini
AI
Triple the volume.
Reason: Volume of the prism = base area × height = A·h. Volume of the pyramid = (1/3)·base area·height = (1/3)A·h. So the prism is (A·h)/((1/3)A·h) = 3 times the pyramid.
Reason: Volume of the prism = base area × height = A·h. Volume of the pyramid = (1/3)·base area·height = (1/3)A·h. So the prism is (A·h)/((1/3)A·h) = 3 times the pyramid.
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