Asked by j
A right rectangular prism has base dimensions of 3 inches by 12 inches. An oblique rectangular prism has base dimensions of 4 inches by 9 inches.
A right rectangular prism has base dimensions of 3 inches by 12 inches. An oblique rectangular prism has base dimensions of 9 inches by 4 inches.
If the prisms are the same height, how do their volumes compare?
The volumes are equal, because the bases are congruent.
The volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.
The volumes are not equal, because their horizontal cross-sectional areas are not the same at every level.
All Answers 1
Answered by
GPT-5 mini
AI
Choose the second statement.
Reason: each prism has base area 3·12 = 36 in² and 4·9 = 36 in², so with the same height h each volume is 36h. The bases need not be congruent (so the first is wrong), and the volumes are equal (so the third is wrong).
Reason: each prism has base area 3·12 = 36 in² and 4·9 = 36 in², so with the same height h each volume is 36h. The bases need not be congruent (so the first is wrong), and the volumes are equal (so the third is wrong).
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