document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #613359 by KMST(5328) $\"\"$ $\"About$

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The volume, $\"V\"$ , of a prism can be calculated as the area, $\"A\"$ , of a base times the height, $\"h\"$ :
\n" ); document.write( " $\"V=A%2Ah\"$ .
\n" ); document.write( "The area of a cross section taken parallel to the base at any level is the same as the area of each base.
\n" ); document.write( "The statements above are true for right and oblique prisms,
\n" ); document.write( "regardless of the shape of the base (rectangular, triangular, or other).
\n" ); document.write( "The two solids in your problem have the same $\"A\"$ and $\"h\"$ measurements,
\n" ); document.write( "so the have the same volume.
\n" ); document.write( "For the right rectangular prism in your problem,
\n" ); document.write( " $\"system%28A=25in%5E2%2Ch=15in%29\"$ ---> $\"V=%2825in%5E2%29%2A%2815in%29=375in%5E3\"$ .
\n" ); document.write( "For the right triangular prism in your problem,
\n" ); document.write( " $\"system%28A=25in%5E2%2Ch=15in%29\"$ ---> $\"V=%2825in%5E2%29%2A%2815in%29=375in%5E3\"$ .
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