document.write( "Question 394888: Write an equation expressing the volume of a box made from a paper 12\" x 15\" from which a square with side length x is cut from each corner.Graph on your calculator the equation and find the maximum volume possible. \r
\n" ); document.write( "\n" ); document.write( "i dont get how u graph it? \n" ); document.write( "
Algebra.Com's Answer #280266 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
Write an equation expressing the volume of a box made from a paper 12\" x 15\" from which a square with side length x is cut from each corner.Graph on your calculator the equation and find the maximum volume possible. \r
\n" ); document.write( "\n" ); document.write( "width of box = 12-2x
\n" ); document.write( "length of box = 15-2x
\n" ); document.write( "H= x
\n" ); document.write( "..
\n" ); document.write( "Volume = L*W*H
\n" ); document.write( "...
\n" ); document.write( "V = (12-2x)(15-2x)*x
\n" ); document.write( "..
\n" ); document.write( "V= (180-24x-30x-4x^2)*x
\n" ); document.write( "V= x*(-4x^2-54x+180)
\n" ); document.write( "V=4x^3-54x^2+180x
\n" ); document.write( "...
\n" ); document.write( "\"graph%28500%2C500%2C-5%2C10%2C-10%2C400%2Cy=4x%5E3-54x%5E2%2B180x%29\"
\n" ); document.write( "...
\n" ); document.write( "You will see from graph thet when x=0,x=6,x=7.5 Volume is =0
\n" ); document.write( "...\r
\n" ); document.write( "\n" ); document.write( "there is a peak at 2.2 for the x value.
\n" ); document.write( "V = 177. maximum approximately at cut x= 2.2\r
\n" ); document.write( "\n" ); document.write( "...
\n" ); document.write( "m.ananth@hotmail.ca\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );