document.write( "Question 864416: Three rectangular prisms have a combined volume of 518 cubic feet. Prism A has one-third the volume of Prism B, and prism B and C have equal volume. What is the volume of each prism? \n" ); document.write( "
Algebra.Com's Answer #520979 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let x = volume of prism B and C, so the volume of prism A is x/3. Add up the 3 volumes and set it equal to 518. Then solve for x.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x/3 + x + x = 518\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x/3 + 2x = 518\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3(x/3 + 2x) = 3*518\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 6x = 1554\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x = 1554\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 1554/7\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 222\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 222\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x/3 = 222/3 = 74\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Volume of Prism A: 74 cubic feet\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Volume of Prism B: 222 cubic feet\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Volume of Prism C: 222 cubic feet \n" ); document.write( " |