document.write( "Question 1114845: Small squares with sides 4 cm were cut from each of the corners of a square piece of cardboard. Then it was folded into an open-top box. Find the original dimensions of the square piece of cardboard if the volume of this box is 144 cm^3. \r
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Algebra.Com's Answer #729755 by ikleyn(52798) $\"\"$ $\"About$

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document.write( "After folding, you get an open box.\r\n" );
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document.write( "Its base is the square with the side length of (x-2*4) = x-8 cm, where x is the side of the original cardboard.\r\n" );
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document.write( "The height of the box is 4 cm.\r\n" );
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document.write( "Hence,  4*(x-8)^2 = 144  is the volume equation.\r\n" );
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document.write( "It gives  (x-8)^2 =  = 36.\r\n" );
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document.write( "Hence,  x-8 =  = 6.\r\n" );
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document.write( "Then x = 6+8 = 14.\r\n" );
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document.write( "Answer.  The side length of the original square piece of cardboard is 14 cm.\r\n" );
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