document.write( "Question 775455: A box with a square base and no top is to be made from a square piece of cardboard by cutting 4 inch squares from each corner and folding up the sides. The box is to hold 100 inches cubed. How big a piece of cardboard is needed? \n" ); document.write( "
Algebra.Com's Answer #472911 by ankor@dixie-net.com(22740)\"\" \"About 
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A box with a square base and no top is to be made from a square piece of cardboard by cutting 4 inch squares from each corner and folding up the sides.
\n" ); document.write( " The box is to hold 100 inches cubed. How big a piece of cardboard is needed?
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\n" ); document.write( "The card board will square, let s = the side of the cardboard
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\n" ); document.write( "Cutting 4\" squares will subtract 8\" from the sides of the cardboard
\n" ); document.write( "The height of the box will = 4\"
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\n" ); document.write( "A volume equation (area of the base times the height)
\n" ); document.write( "(s-8)^2 * 4 = 100
\n" ); document.write( "4(s^2 - 16s + 64) = 100
\n" ); document.write( "divide both sides by 4
\n" ); document.write( "s^2 - 16s + 64 = 25
\n" ); document.write( "s^2 - 16s + 64 - 25 = 0
\n" ); document.write( "s^2 - 16s + 39 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(s-13)(s-3) = 0
\n" ); document.write( "s = 13 inches, the only solution that makes sense, the side of the square cardboard
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\n" ); document.write( "Check, subtract 8 from 13, 5 * 5 * 4 = 100\r
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