document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196348>Question 196348</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello.\r<BR>\n" );
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document.write( "I'm having some trouble figuring out the following problem:\r<BR>\n" );
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document.write( "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, as shown in the figure. The box is to hold 144 in3. How big a piece of cardboard is needed?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147179 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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/cgi-bin/show-face.mpl?user=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=147179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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, as shown in the figure. The box is to hold 144 in3. How big a piece of cardboard is needed?<BR>\n" );
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document.write( "You must draw a diagram of the problem -- it'll help you see the problem.<BR>\n" );
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document.write( "Let x = length of one side of the square cardboard<BR>\n" );
document.write( "then<BR>\n" );
document.write( "4 in = height <BR>\n" );
document.write( "width = x-8<BR>\n" );
document.write( "length = x-8<BR>\n" );
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document.write( "volume = height*width*length<BR>\n" );
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document.write( "144 = 4(x-8)(x-8)<BR>\n" );
document.write( "144 = 4(x^2-16x+64)<BR>\n" );
document.write( "36 = x^2-16x+64<BR>\n" );
document.write( "0 = x^2-16x+28<BR>\n" );
document.write( "0 = (x-14)(x-2)<BR>\n" );
document.write( "x ={2,14}<BR>\n" );
document.write( "We toss out 2 leaving:<BR>\n" );
document.write( "x = 14 inches<BR>\n" );
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document.write( "Cardboard is 14x14 inches </SPAN>\n" );
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