document.write( "Question 1011095: By cutting squares out of the corners of an 8 1/2 in x 11in sheet of paper, and folding up the edges, you can form a box. Whats the largest possible volume of the box if the length cut is no less than 1in and no more than 4 in? \n" ); document.write( "

Algebra.Com's Answer #626670 by stanbon(75887) $\"\"$ $\"About$

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By cutting squares out of the corners of an 8 1/2 in x 11in sheet of paper, and folding up the edges, you can form a box.
\n" ); document.write( "Whats the largest possible volume of the box if the length cut is no less than 1in and no more than 4 in?
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\n" ); document.write( "Volume = x(8 1/2 - 2x)(11-2x)
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\n" ); document.write( "V = x[8.5-2x][11-2x]
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\n" ); document.write( "V = x[93.5 -17x -22x + 4x^2]
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\n" ); document.write( "V = 93.5x - 39x^2 + 4x^3
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\n" ); document.write( "V' = 93.5 - 78x + 12x^2
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\n" ); document.write( "Solve:: 12x^2 - 78x + 93.5 = 0
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\n" ); document.write( "x = 4.9146
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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