document.write( "Question 1074800: Let ABCDEFGH be a rectangular prism, as shown, where AB = 2, AD = 3, and AE = 5. Find the volume of pyramid ACFH.\r
\n" ); document.write( "\n" ); document.write( "https://latex.artofproblemsolving.com/0/a/3/0a3404805162de58ee7c86ac6b0e5d23327c0026.png
\n" ); document.write( "

Algebra.Com's Answer #689534 by ikleyn(53751)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Let ABCDEFGH be a rectangular prism, as shown, where AB = 2, AD = 3, and AE = 5. Find the volume of pyramid ACFH.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "The volume of our pyramid is equal to the volume of the rectangular prism minus the volumes of three OTHER pyramids \r\n" );
document.write( "that you can easily calculate:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"V%5BACFH%5D\" = 2*3*5 - \"V%5BFAHE%5D\" - \"V%5BCABF%5D\" - \"V%5BCFGH%5D\" - \"V%5BCADH%5D\" - \"V%5BCADH%5D\" = \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "      = 30 - \"%281%2F3%29%2A%281%2F2%29%2A5%2A3%2A2\" - \"%281%2F3%29%2A%281%2F2%29%2A5%2A3%2A2\" - \"%281%2F3%29%2A%281%2F2%29%2A5%2A3%2A2\" - \"%281%2F3%29%2A%281%2F2%29%2A5%2A3%2A2\" = \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "      = 30 - \"%284%2F%283%2A2%29%29%2A5%2A3%2A2\" = 30 - 20 = 10 cubic units.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );