document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1055889>Question 1055889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A open top rectangular container with a square base has to be manufactured of metal plate .the volume of the container should be 62,5m^3.determine the dimensions of the container That will yield a minimum surface area. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #671064 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=671064\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Bottom of x by x, and height of y.<BR>\n" );
document.write( "S, the surface area for the five sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28S=x%5E2%2B4xy%2Cx%5E2%2Ay=62.5%29 ALIGN=MIDDLE  ALT=\"system%28S=x%5E2%2B4xy%2Cx%5E2%2Ay=62.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=62.5%2Fx%5E2 ALIGN=MIDDLE  ALT=\"y=62.5%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute into S.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=x%5E2%2B4x%2862.5%29%2Fx%5E2 ALIGN=MIDDLE  ALT=\"S=x%5E2%2B4x%2862.5%29%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=x%5E2%2B4%2A62.5%2Fx ALIGN=MIDDLE  ALT=\"S=x%5E2%2B4%2A62.5%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dS%2F%28dx%29=2x%2B4%2A62.5%28-1%29x%5E%28-2%29 ALIGN=MIDDLE  ALT=\"dS%2F%28dx%29=2x%2B4%2A62.5%28-1%29x%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dS%2Fdx=2x-250%2Fx%5E2 ALIGN=MIDDLE  ALT=\"dS%2Fdx=2x-250%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dS%2Fdx=%282x%5E3-250%29%2Fx%5E2 ALIGN=MIDDLE  ALT=\"dS%2Fdx=%282x%5E3-250%29%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E3=250 ALIGN=MIDDLE  ALT=\"2x%5E3=250\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3=125 ALIGN=MIDDLE  ALT=\"x%5E3=125\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=5%29 ALIGN=MIDDLE  ALT=\"highlight%28x=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Bottom square dimensions each are 5 units.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=62.5%2F5%5E2 ALIGN=MIDDLE  ALT=\"y=62.5%2F5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=2.5%29 ALIGN=MIDDLE  ALT=\"highlight%28y=2.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The height is  2.5 units, to make box have its maximum surface area. </SPAN>\n" );
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