Question 993900: 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?
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! The volume,  , of a prism can be calculated as the area,  , of a base times the height,  :
 .
The area of a cross section taken parallel to the base at any level is the same as the area of each base.
The statements above are true for right and oblique prisms,
regardless of the shape of the base (rectangular, triangular, or other).
The two solids in your problem have the same and measurements,
so the have the same volume.
For the right rectangular prism in your problem,
 ---> .
For the right triangular prism in your problem,
---> .
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