document.write( "Question 1166293: The length of a rectangular box (shaped like a rectangular prism ) is 1 inch greater than its width. The height of the box is three times its length. If the volume of the box is 11,520 in^3, find the dimensions of the box. \n" ); document.write( "
Algebra.Com's Answer #790779 by Alan3354(69443) You can put this solution on YOUR website! The length of a rectangular box (shaped like a rectangular prism ) is 1 inch greater than its width. The height of the box is three times its length. If the volume of the box is 11,520 in^3, find the dimensions of the box. \n" ); document.write( "------------------ \n" ); document.write( "L = W + 1 \n" ); document.write( "H = 3L = 3W+3 \n" ); document.write( "---- \n" ); document.write( "Vol = W*(W+1)*(3W+3) = 11520 \n" ); document.write( "W*(W+1)^2 = 3840 \n" ); document.write( "W^3 + 2W^2 + W - 3840 = 0 \n" ); document.write( "W = 15\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |