document.write( "Question 668450: The width of a rectangular box is 3 times its height and its length is 2 more than its height. find the dimensions of the box if its volume is 288 cubic inches. \n" ); document.write( "

Algebra.Com's Answer #415561 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi,
\n" );
document.write( "The width of a rectangular box is 3 times its height 
\n" );
document.write( "and its length is 2 more than its height.
\n" );
document.write( "its volume is 288 cubic
\n" );
document.write( "Translate into an equation: 
\n" );
document.write( " lwh = 288 in^3
\n" );
document.write( "(x+2)(3x)x = 288
\n" );
document.write( "  3x^3 + 6x^2 = 288
\n" );
document.write( "  3x^3 + 6x^2 - 288 = 0
\n" );
document.write( "   x^3 + 2x^2 -96 = 0   x = 4, one solution
\n" );
document.write( "  using Synthetic Divsion
\n" );
document.write( "4	1	2	0	-96
\n" );
document.write( " 	 	4	24	96
\n" );
document.write( " 	1	6	24	0
\n" );
document.write( "results in:  x^2 + 6x + 24  with imaginary roots
\n" );
document.write( "height is 4in, length 6in and width is 12in \n" );
document.write( "

\n" );