document.write( "Question 181942: A box without a top is to be made by cutting squares measuring 8 cm on a side from each corner of a square piece of tin and folding up the sides. Find the dimensions of the box, if it is to have a volume of 9248cm cubed.\r
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Algebra.Com's Answer #136565 by nerdybill(7384)\"\" \"About 
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A box without a top is to be made by cutting squares measuring 8 cm on a side from each corner of a square piece of tin and folding up the sides. Find the dimensions of the box, if it is to have a volume of 9248cm cubed.
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\n" ); document.write( "Your best bet is to draw a diagram of the problem and jot down all the information provided. It'll help you \"see\" the problem better.
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\n" ); document.write( "Let x = length of one side of square piece of tin
\n" ); document.write( "then
\n" ); document.write( "length = width = x-2(8) = x-16
\n" ); document.write( "height = 8
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\n" ); document.write( "(x-16)(x-16)8 = 9248
\n" ); document.write( "(x-16)(x-16) = 1156
\n" ); document.write( "x^2 - 32x + 256 = 1156
\n" ); document.write( "x^2 - 32x - 900 = 0
\n" ); document.write( "(x+18)(x-50) = 0
\n" ); document.write( "x = {-18, 50}
\n" ); document.write( "Tossing out the negative value we have:
\n" ); document.write( "x = 50 cm
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\n" ); document.write( "width = x-16 = 50-16 = 34 cm
\n" ); document.write( "length = x-16 = 50-16 = 34 cm
\n" ); document.write( "height = 8 cm
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\n" ); document.write( "Dimensions of box:
\n" ); document.write( "34 cm X 34 cm X 8 cm
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