document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825568>Question 825568</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The bottom of a box is to be a rectangle with a perimeter of 42cm. The box must have a height of 10c. what is dimensions of the box give you the maximum volume? What is the maximum volume?\r<BR>\n" );
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document.write( "*Please show all your work so that I can see how you got your answer, Thanks!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497402 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=497402\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> bottom, w by y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w%2B2y=42 ALIGN=MIDDLE  ALT=\"2w%2B2y=42\"   DISABLED_style= \"max-width:90%; height:auto;\" >;\r<BR>\n" );
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document.write( "volume is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=wy%2A10 ALIGN=MIDDLE  ALT=\"v=wy%2A10\"   DISABLED_style= \"max-width:90%; height:auto;\" >;\r<BR>\n" );
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document.write( "From perimeter equation,<BR>\n" );
document.write( "w+y=21<BR>\n" );
document.write( "w=21-y;<BR>\n" );
document.write( "Substitute...<BR>\n" );
document.write( "v=(21-y)y*10<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=210y-10y%5E2 ALIGN=MIDDLE  ALT=\"v=210y-10y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Not finished, short on time here; but quadratic equation in terms of y, so you can find the maximum...<BR>\n" );
document.write( "coefficient on y^2 is a negative constant, so v has a maximum.\r<BR>\n" );
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document.write( "You can take average of the roots (for when v=0) and that is the y length so you can then use it to find w.  If this a Calculus problem?  You could find derivative and equate to zero to find y...<BR>\n" );
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