document.write( "Question 940694: from a square sheet of cardboard 8 in by 11 in, square corners are cut out so the sides can be folded up to make a box. what dimensions will yield a box of max. volume? \n" ); document.write( "
Algebra.Com's Answer #573312 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
x, length edge for squares to cut.\r
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\n" ); document.write( "\n" ); document.write( "\"%288-2x%29%2811-2x%29%2Ax=volume\"
\n" ); document.write( "\"v%28x%29=%2888-22x-16x%2B4x%5E2%29x\"
\n" ); document.write( "\"v%28x%29=4x%5E3-38x%5E2%2B88x\"\r
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\n" ); document.write( "\n" ); document.write( "DERIVATIVE APPLICATION - \"dv%2Fdx=0\" for max or min volume.\r
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\n" ); document.write( "\n" ); document.write( "\"dv%2Fdx=12x%5E2-76x%2B88=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"6x%5E2-38x%2B44=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"3x%5E2-19x%2B22=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2819%2B-+sqrt%2819%5E2-4%2A3%2A22%29%29%2F%282%2A3%29\", one of these will work and the other not.
\n" ); document.write( "\"highlight%28x=%2819-sqrt%2897%29%29%2F6%29\"----How tall is this box, and the amount of edge to cut from each corner of the cardboard to make the box. For MAXIMUM volume.
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