document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207436>Question 1207436</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Every time I come across this question it throws me into a loop. <BR>\n" );
document.write( "The part about removing a foot from each corner is the confusing part to me. \r<BR>\n" );
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document.write( "An open box is to be constructed from a square piece of sheet metal by removing a square of side 1 foot from each corner and turning up the edges.If the box is to hold 4 cubic feet,what should be the dimensions of the sheet metal? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845280 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845280\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "x = side length, in feet, of the original square sheet metal<BR>\n" );
document.write( "x > 0\r<BR>\n" );
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document.write( "The square of side length x is reduced to side length x-2 when subtracting 1 foot from each side. <BR>\n" );
document.write( "Notice I subtracted two copies of \"1 foot\" from each dimension.\r<BR>\n" );
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document.write( "volume = length*width*height<BR>\n" );
document.write( "volume = (x-2)*(x-2)*1<BR>\n" );
document.write( "volume = x^2 - 4x + 4\r<BR>\n" );
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document.write( "Set this equal to the volume we want to get,<BR>\n" );
document.write( "x^2 - 4x + 4 = 4<BR>\n" );
document.write( "x^2 - 4x = 0<BR>\n" );
document.write( "x(x-4) = 0<BR>\n" );
document.write( "x = 0 or x-4 = 0<BR>\n" );
document.write( "x = 0 or x = 4\r<BR>\n" );
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document.write( "Ignore x = 0 since it doesn't make x > 0 true.<BR>\n" );
document.write( "The only possible answer is x = 4.\r<BR>\n" );
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document.write( "The original square sheet metal is 4 by 4.<BR>\n" );
document.write( "Subtract off 1 ft for each side to get a 2 by 2 square floor of the box when folding up the sides. Each flap is 1 ft tall.<BR>\n" );
document.write( "volume = length*width*height = 2*2*1 = 4 cubic feet<BR>\n" );
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