document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121886>Question 121886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given a square piece of material 25 inches on each side, we are to make an open box by cutting a square with x inches on a side from each corner and turning up the sides. Express the volumn V of the box in a function of x. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #89479 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=89479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you cut a square of side x from the corners of a 25 by 25 sheet, the length of each side of the bottom of the box will be 25 - 2x.  The volume of a rectangular solid is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=lwh ALIGN=MIDDLE  ALT=\"V=lwh\"   DISABLED_style= \"max-width:90%; height:auto;\" >, here l = 25 - 2x, w = 25 - 2x, and h = x, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%2825-2x%29%2825-2x%29x ALIGN=MIDDLE  ALT=\"V=%2825-2x%29%2825-2x%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using FOIL:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%28625-50x-50x%2B4x%5E2%29x ALIGN=MIDDLE  ALT=\"V=%28625-50x-50x%2B4x%5E2%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Distribute the x and collect terms:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=4x%5E3-100x%5E2%2B625x ALIGN=MIDDLE  ALT=\"V=4x%5E3-100x%5E2%2B625x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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