document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=854618>Question 854618</A>: <I><SPAN STYLE=\"word-break: break-all;\"> From each corner of a square piece of sheet metal 18 centimeters on a side, remove a small square of the side x centimeters and turn up the edges to form an open box. What should the dimensions of the box be to maximize the volume?\r<BR>\n" );
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document.write( "I tried drawing a picture for this problem to see if it would help me solve it but I'm still lost! Thank you for your help.\r<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 #514797 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39629)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=514797\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Try to first draw the two-dimensional net.  Deal with the VOLUME calculation later.  You will start with a square.\r<BR>\n" );
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document.write( "The original square is 18 cm by 18 cm.  Draw the picture and revise accordingly:<BR>\n" );
document.write( "Remove a square at each corner of dimensions x by x.  This means the dimensions of what will become the base of the box are (18-2x) by (18-2x).  \r<BR>\n" );
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document.write( "With the square corners removed, folding up the flaps forms the box of height x.  Be SURE you understand that.\r<BR>\n" );
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document.write( "WHAT IS THE VOLUME?\r<BR>\n" );
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document.write( "It is a variable according to the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28v=x%2818-2x%29%2818-2x%29%29 ALIGN=MIDDLE  ALT=\"highlight%28v=x%2818-2x%29%2818-2x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The x intercepts are very easy to locate.  You can either use a graphing calculator to find the maximum volume; or you can, if you understand these, find the derivative of v versus x and look for the maximum v that way.\r<BR>\n" );
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document.write( "The maximum volume occurs at x=3. </SPAN>\n" );
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