document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101986>Question 1101986</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a tank is used to collect rain water.The form of the tank is a parallelepiped rectangle whose basement is a square whose side is x meters.its volume is 4 cubed meters<BR>\n" );
document.write( "Find the altitude of the tank<BR>\n" );
document.write( "Find the surface in terms of x<BR>\n" );
document.write( "Find the dimensions of the tank if we want to use as less paint as possible  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #716677 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=716677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a tank is used to collect rain water.<BR>\n" );
document.write( "The form of the tank is a parallelepiped rectangle whose base is a square whose side is x meters.<BR>\n" );
document.write( "its volume is 4 cubic meters<BR>\n" );
document.write( ":<BR>\n" );
document.write( " Find the altitude of the tank<BR>\n" );
document.write( "let h = the height of the tank<BR>\n" );
document.write( "x*x*h = 4<BR>\n" );
document.write( "x^2 * h = 4<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fx%5E2 ALIGN=MIDDLE  ALT=\"4%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( " Find the surface in terms of x<BR>\n" );
document.write( "Assuming the top is open<BR>\n" );
document.write( "S.A. = x^2 + 4(xh)<BR>\n" );
document.write( "replace h with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fx%5E2 ALIGN=MIDDLE  ALT=\"4%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "S.A. = x^2 + 4(x*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fx%5E2 ALIGN=MIDDLE  ALT=\"4%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "cancel x<BR>\n" );
document.write( "S.A. = x^2 + 4(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fx ALIGN=MIDDLE  ALT=\"4%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "S.A. = x^2 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2Fx ALIGN=MIDDLE  ALT=\"16%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " Find the dimensions of the tank if we want to use as less paint as possible<BR>\n" );
document.write( "Find the minimum surface area by plotting the equation. Y = surface area<BR>\n" );
document.write( "y = x^2 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2Fx ALIGN=MIDDLE  ALT=\"16%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-2%2C+5%2C+-10%2C+30%2C+x%5E2%2B%2816%2Fx%29%2C+12%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-2%2C+5%2C+-10%2C+30%2C+x%5E2%2B%2816%2Fx%29%2C+12%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "minimum occurs when x = 2 meters, therefore the dimensions are 2 by 2 by 1 meters with a surface area of 12 (greenline)   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );