A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An oblique rectangular prism has base dimensions of 4 inches by 9 inches and a height of 5 inches. Are the volumes the same?
A.
Yes, because the heights are equal and the cross-sectional areas at every level parallel to the bases are also equal.
B.

Yes, because the figures are congruent.
C.

No, because the cross-sectional areas are not the same.
D.

No, because only the bases have the same area, not every cross section at every level parallel to the bases.

Question

A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An oblique rectangular prism has base dimensions of 4 inches by 9 inches and a height of 5 inches. Are the volumes the same?
A.
	Yes, because the heights are equal and the cross-sectional areas at every level parallel to the bases are also equal.
B.
	
Yes, because the figures are congruent.
C.
	
No, because the cross-sectional areas are not the same.
D.
	
No, because only the bases have the same area, not every cross section at every level parallel to the bases.

oregonduck · Answer

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