document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203505>Question 203505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular box with not top is to contain 2250 cubic inches of volume.  Find the dimensions of the box that will minimize the surface area.  The length (l) of the base is three times the width (w)\r<BR>\n" );
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document.write( "w=   inches\r<BR>\n" );
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document.write( "h=   inches\r<BR>\n" );
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document.write( "l=   inches\r<BR>\n" );
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document.write( "not sure what I am doing wrong but I am having any luck can someone please  thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153588 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=153588\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"length (l) of the base is three times the width (w)\" ___ L = 3W\r<BR>\n" );
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document.write( "\"2250 cubic inches of volume\" ___ V = L * W * H ___ 2250 = 3W * W * H ___ 750 / W^2 = H\r<BR>\n" );
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document.write( "surface area = (L * W) + 2 (L * H) + 2 (W * H) = 3W^2 + 4500/W + 1500/W = 3W^2 + 6000/W<BR>\n" );
document.write( "___ you need to find the minimum of this function\r<BR>\n" );
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document.write( "finding the slope of the curve (first derivative) and setting equal to zero -- this is the minimum<BR>\n" );
document.write( "___ 0 = 6W - 6000/(W^2) ___ 6000/(W^2) = 6W ___ 1000 = W^3 ___ 10 = W\r<BR>\n" );
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document.write( "substituting ___ L = 3(10) = 30 _____ H = 750 / (10^2) = 7.5\r<BR>\n" );
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