document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099839>Question 1099839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am in College Algebra but the question seemed to fit in this category...The base and sides of a container are made of wood panels. The container does not have a top. The base and sides are rectangular. The width is x cm. The length is 4 times the width. The volume is 600 cm^3. Determine the minimum surface area to two decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #714331 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=714331\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The container does not have a top.<BR>\n" );
document.write( " The base and sides are rectangular. <BR>\n" );
document.write( "The width is x cm. The length is 4 times the width.<BR>\n" );
document.write( " The volume is 600 cm^3.<BR>\n" );
document.write( " Determine the minimum surface area to two decimal places. <BR>\n" );
document.write( ":<BR>\n" );
document.write( "let h = the height of the box<BR>\n" );
document.write( "Given<BR>\n" );
document.write( "x = the width<BR>\n" );
document.write( "4x = the length<BR>\n" );
document.write( "Volume<BR>\n" );
document.write( "4x * x * h = 600<BR>\n" );
document.write( "4x^2 * h = 600<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2F%284x%5E2%29 ALIGN=MIDDLE  ALT=\"600%2F%284x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cancel the 4<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2Fx%5E2 ALIGN=MIDDLE  ALT=\"120%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Surface area<BR>\n" );
document.write( "S.A. =(4x*x) + 2(4x*h) + 2(x*h)<BR>\n" );
document.write( "S.A. = 4x^2 + 8xh + 2xh<BR>\n" );
document.write( "S.A. = 4x^2 + 10xh<BR>\n" );
document.write( "replace h with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2Fx%5E2 ALIGN=MIDDLE  ALT=\"120%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "S.A. = 4x^2 + 10x*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2Fx%5E2 ALIGN=MIDDLE  ALT=\"120%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel x<BR>\n" );
document.write( "S.A. = 4x^2 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200%2Fx ALIGN=MIDDLE  ALT=\"1200%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "plot the equation y = 4x^2 + (1200/x), where y = the surface area<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+10%2C+-100%2C+1000%2C+4x%5E2%2B%281200%2Fx%29%2C+339%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+10%2C+-100%2C+1000%2C+4x%5E2%2B%281200%2Fx%29%2C+339%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can see minimum surface area occurs when x = 5.2 cm. Green: y=339<BR>\n" );
document.write( "Find the minimum surface area<BR>\n" );
document.write( "S.A. = 4(5.2^2) + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200%2F5.2 ALIGN=MIDDLE  ALT=\"1200%2F5.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "S.A. = 108.16 + 230.77<BR>\n" );
document.write( "S.A = 338.93 sq/cm <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );