document.write( "Question 1060643: An open-topped box can be created by cutting congruent squares from each of the four corners of a piece of cardboard that has dimensions of 20cm by 30cm and folding up the sides. Determine the dimensions of the squares that must be cut to create a box with a volume of 1008cm^3. \n" ); document.write( "

Algebra.Com's Answer #675526 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "An open-topped box can be created by cutting congruent squares from each of the four corners of a piece of cardboard
\n" ); document.write( "that has dimensions of 20 cm by 30 cm and folding up the sides. Determine the dimensions of the squares that must be cut
\n" ); document.write( "to create a box with a volume of 1008cm^3.
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document.write( "(20-2x)*(30-2x)*x = 1008.\r\n" );
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document.write( " = 1008,\r\n" );
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document.write( " = 1008,\r\n" );
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document.write( " = 252,\r\n" );
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document.write( " = 0,\r\n" );
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document.write( "One root is x= 3.\r\n" );
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document.write( "So, one solution is x= 3.\r\n" );
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document.write( "Two others are  x=  =~ 4.92  and  x=  =~ 17.08. The latest is TOOOOO big.\r\n" );
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document.write( "Check.  (20-2*3)*(30-2*3)*3 = 14*24*3 = 1008.\r\n" );
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document.write( "Answer.  One solution is x= 3.  Another is  x=  =~ 4.92\r\n" );
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document.write( "Plot y = \r\n" );
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