document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1097462>Question 1097462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An aquarium with a square base has no top. There is a metal frame. Glass costs 10 dollars/m^2 and the frame costs 10 dollars/m. The volume is to be 20 m^3. Express the total cost C in terms of the height h in meters. (Hint: work out the cost of the glass and frame separately.)\r<BR>\n" );
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document.write( "I/m stuck on this problem! Please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #711943 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=711943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>The first solution is not right....<br><BR>\n" );
document.write( "The aquarium has a square base of side length s and a height of h.  The volume is to be 20, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2h+=+20 ALIGN=MIDDLE  ALT=\"s%5E2h+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2+=+20%2Fh ALIGN=MIDDLE  ALT=\"s%5E2+=+20%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+sqrt%2820%2Fh%29 ALIGN=MIDDLE  ALT=\"s+=+sqrt%2820%2Fh%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The glass required is for the base, area s^2, and four sides, each area s*h.  That total area is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2+%2B+4sh+=+20%2Fh+%2B+4h%2Asqrt%2820%2Fh%29 ALIGN=MIDDLE  ALT=\"s%5E2+%2B+4sh+=+20%2Fh+%2B+4h%2Asqrt%2820%2Fh%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The cost of the glass is then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2820%2Fh+%2B+4h%2Asqrt%2820%2Fh%29%29 ALIGN=MIDDLE  ALT=\"10%2820%2Fh+%2B+4h%2Asqrt%2820%2Fh%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The metal needed for the frame is 4 sides on top and 4 sides on bottom, each length s, and 4 vertical edges, each length h.  The total length of all the edges is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8s+%2B+4h+=+8%2Asqrt%2820%2Fh%29%2B4h ALIGN=MIDDLE  ALT=\"8s+%2B+4h+=+8%2Asqrt%2820%2Fh%29%2B4h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then the cost for the metal for the frame is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%288%2Asqrt%2820%2Fh%29%2B4h%29 ALIGN=MIDDLE  ALT=\"10%288%2Asqrt%2820%2Fh%29%2B4h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then an expression for the total cost in terms of the height h is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2820%2Fh+%2B+4h%2Asqrt%2820%2Fh%29+%2B+8%2Asqrt%2820%2Fh%29%2B4h%29 ALIGN=MIDDLE  ALT=\"10%2820%2Fh+%2B+4h%2Asqrt%2820%2Fh%29+%2B+8%2Asqrt%2820%2Fh%29%2B4h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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