document.write( "Question 806878: A closed box is to be constructed from a rectangular sheet of cardboards that measures 18 inches by 42 inches. The box is made by cutting rectangles that measure x inches by 2x inches from two of the corners and by cutting two squares that measure x inches by x inches from the top and from the bottom of the rectangle. What value of x (to the nearest thousandth of an inch) will produce a box with maximum volume? Thank you \n" ); document.write( "

Algebra.Com's Answer #486075 by erica65404(394) $\"\"$ $\"About$

You can put this solution on YOUR website!
The equation for a box problem will most likely be x(length-2x)(width-2x) unless stated otherwise.
\n" ); document.write( " $\"x%2818-2x%29%2842-2x%29\"$
\n" ); document.write( "To find the max you plug in numbers for x that are $\"0%3Cx%3C9\"$ .
\n" ); document.write( "The reason why you can't use 0 or 9 is because if you plug those numbers into the equation you get out 0. You can't have a volume of 0.
\n" ); document.write( "You would usually use a graphing calculator for these problems because it takes forever using a regular calculator.
\n" ); document.write( "Your max will be 3.917 with a volume of 1360.497705. \n" ); document.write( "

\n" );