document.write( "Question 854135: The volume of a rectangular Chinese box is given by the formula V=LWH. The volume of the box shown on the right is 105 cu. units. Find the width and length. \n" ); document.write( "
Algebra.Com's Answer #514449 by harpazo(655)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "105 = (x+2)(x)(3)\r \n" ); document.write( "\n" ); document.write( "105 = (3x)(x+2)\r \n" ); document.write( "\n" ); document.write( "105 = 3x^2 + 6x\r \n" ); document.write( "\n" ); document.write( "3x^2 + 6x - 105 = 0\r \n" ); document.write( "\n" ); document.write( "x^2 + 2x - 35 = 0\r \n" ); document.write( "\n" ); document.write( "(x-5)(x+7) = 0\r \n" ); document.write( "\n" ); document.write( "x-5 = 0\r \n" ); document.write( "\n" ); document.write( "x = 5\r \n" ); document.write( "\n" ); document.write( "Reject x = -7 because we are dealing with measurement. \r \n" ); document.write( "\n" ); document.write( "So, the width 5, the length is 7.\r \n" ); document.write( "\n" ); document.write( "THE PROVE\r \n" ); document.write( "\n" ); document.write( "105 = 7x5x3\r \n" ); document.write( "\n" ); document.write( "105 = 35x3\r \n" ); document.write( "\n" ); document.write( "105 = 105\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |