document.write( "Question 342882: The volume of a rectangular Chinese box is given by the formula V=LWH. The Volume is 297cu units. Find the width and length.\r
\n" );
document.write( "\n" );
document.write( "Length = x+2
\n" );
document.write( "width = x
\n" );
document.write( "height = 3\r
\n" );
document.write( "\n" );
document.write( "can you show the steps also? \n" );
document.write( "
Algebra.Com's Answer #245389 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! V = LWH\r \n" ); document.write( "\n" ); document.write( "Let V = 297\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let L = (x + 2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let W = x\r \n" ); document.write( "\n" ); document.write( "Let H = 3\r \n" ); document.write( "\n" ); document.write( "297 = (x + 2)(x)(3)\r \n" ); document.write( "\n" ); document.write( "297 = (x + 2)(3x)\r \n" ); document.write( "\n" ); document.write( "297 = 3x^2 + 6x\r \n" ); document.write( "\n" ); document.write( "0 = 3x^2 + 6x - 297\r \n" ); document.write( "\n" ); document.write( "At this point, we have a quadratic equation.\r \n" ); document.write( "\n" ); document.write( "After doing the math, I got x = -11 and x = 9.\r \n" ); document.write( "\n" ); document.write( "Since we are talking about distances, we reject -11 and accept x = 9.\r \n" ); document.write( "\n" ); document.write( "The length = x + 2 or 9 + 2 = 11.\r \n" ); document.write( "\n" ); document.write( "Thw width is 9.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |