document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144121>Question 144121</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A square piece of cardboard is to be formed into a pizza box. The box is formed by cutting 2-inch square corners from the cardboard and folding them up. If the volume of the box is 512 in^3, what are the dimensions of the cardboard? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104882 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=104882\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The side of the cardboard square: x<BR>\n" );
document.write( "The length and width of the box: x - 4 (because you need to subtract 2 inches from each side)<BR>\n" );
document.write( "The height of the box: 2\r<BR>\n" );
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document.write( "Volume of the box <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%28x-4%29%2A2=512 ALIGN=MIDDLE  ALT=\"%28x-4%29%28x-4%29%2A2=512\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply the binomial and divide both sides by 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-8x%2B16=256 ALIGN=MIDDLE  ALT=\"x%5E2-8x%2B16=256\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-8x-240=0 ALIGN=MIDDLE  ALT=\"x%5E2-8x-240=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B12%29%28x-20%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B12%29%28x-20%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-12 ALIGN=MIDDLE  ALT=\"x=-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=20 ALIGN=MIDDLE  ALT=\"x=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Exclude the negative root as extraneous and not meaningful since we are looking for a positive measure of length.  The original cardboard was then 20 inches by 20 inches.\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "Cut out 2 inch squares from the corners of a 20 X 20 piece of cardboard and then fold up the sides, making a 16 by 16 by 2 box.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2A16%2A2=512 ALIGN=MIDDLE  ALT=\"16%2A16%2A2=512\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Checks. </SPAN>\n" );
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