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.

anonymous · Answer

C

anonymous · Answer

cant be D because the bases aren't the same