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5 November, 10:55

A right rectangular prism has a height of 15 in, and the area of the cross section taken parallel to the base at a level of 5 in above the base is 25 in2. A right triangular prism has a height of 15 in, and the area of the cross section taken parallel to the base at a level of 5 in above the base is 25 in2. Do the solids have the same volume?

A.

Yes, because they have the same height and the same cross-sectional area at every level parallel to the bases.

B.

Yes, because the solids are congruent.

C.

No, because the heights are not equal.

D.

No, because the cross-sectional area at every level must be the same, not just at one level.

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  1. 5 November, 14:48
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    Answer:A. Yes, because they have the same height and the same cross-sectional area at every level parallel to the bases.

    A right prism has constant cross-sectional area at every level parallel to the base and the volume is the area of the base times the height.
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