document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256760>Question 256760</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular box with a volume of 60 ft^3 has a square base. Find a function that models its surface area S in terms of length x of one sides of its base. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188819 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=188819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangular box with a volume of 60 ft^3 has a square base. Find a function that models its surface area S in terms of length x of one sides of its base.<BR>\n" );
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document.write( "Since the volume is 60 cubic feet:<BR>\n" );
document.write( "Let h = height<BR>\n" );
document.write( "then<BR>\n" );
document.write( "hx^2 = 60<BR>\n" );
document.write( "h = 60/x^2<BR>\n" );
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document.write( "Surface area:<BR>\n" );
document.write( "\"top and bottom\" + \"four sides\"<BR>\n" );
document.write( ".<BR>\n" );
document.write( "S = 2x^2 + 4xh<BR>\n" );
document.write( "substitute h:<BR>\n" );
document.write( "S = 2x^2 + 4x(60/x^2)<BR>\n" );
document.write( "S = 2x^2 + 240/x<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );