document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=864024>Question 864024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An open-top box with a square base is to be constructed from 120 square centimeters of material. What dimensions will produce a box<BR>\n" );
document.write( "a. of volume 100cm^3<BR>\n" );
document.write( "b. with largest possible volume?\r<BR>\n" );
document.write( "\n" );
document.write( "Answers: a. approximately 4.427 inches by 4.427 inches<BR>\n" );
document.write( "         b The largest volume occurs when x= 10/3\r<BR>\n" );
document.write( "\n" );
document.write( "*Please show work about this problem. I have been pondering about this question a lot. Thanks for your great help!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #520736 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=520736\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x side of base<BR>\n" );
document.write( "y height<BR>\n" );
document.write( "120 square cm, amount of surface to make the box.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Surface area, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Axy%2Bx%5E2=120 ALIGN=MIDDLE  ALT=\"4%2Axy%2Bx%5E2=120\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Volume, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=yx%5E2 ALIGN=MIDDLE  ALT=\"v=yx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(a):<BR>\n" );
document.write( "To get v=100 cubic cms, try solving surface area equation for y and substitute into the volume equation.<BR>\n" );
document.write( "S.A., <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4xy=120-x%5E2 ALIGN=MIDDLE  ALT=\"4xy=120-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28120-x%5E2%29%2F%284x%29 ALIGN=MIDDLE  ALT=\"y=%28120-x%5E2%29%2F%284x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=yx%5E2=100 ALIGN=MIDDLE  ALT=\"yx%5E2=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28120-x%5E2%29%2F%284x%29%29x%5E2=100 ALIGN=MIDDLE  ALT=\"%28%28120-x%5E2%29%2F%284x%29%29x%5E2=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28120-x%5E2%29x%2F4=100 ALIGN=MIDDLE  ALT=\"%28120-x%5E2%29x%2F4=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28120-x%5E2%29x=400 ALIGN=MIDDLE  ALT=\"%28120-x%5E2%29x=400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E3%2B120x-400=0 ALIGN=MIDDLE  ALT=\"-x%5E3%2B120x-400=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%5E3-120x%2B400=0%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5E3-120x%2B400=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This gives x at 8.6 and 3.75, and you could check each of these for what happens to y using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28120-x%5E2%29%2F%284x%29 ALIGN=MIDDLE  ALT=\"y=%28120-x%5E2%29%2F%284x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Graphing tool was used, and not polynomial property skills. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );