document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=337440>Question 337440</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Casey and Chris want to design an open topped box having a square base and a surface area of 108 square inches. What dimensions would the box of greatest volume have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #241835 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=241835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> square box top open<BR>\n" );
document.write( "so the surface area will be 5 times the area of each face.<BR>\n" );
document.write( "since the box is open at  top only 5 sides.<BR>\n" );
document.write( "let lebgth be x<BR>\n" );
document.write( "area of 1 face of the box = x^2<BR>\n" );
document.write( "5x^2 = total area.<BR>\n" );
document.write( "5x^2=108<BR>\n" );
document.write( "x^2= 108/5<BR>\n" );
document.write( "x^2= 21.6 <BR>\n" );
document.write( "take sqrt<BR>\n" );
document.write( "x= sqrt 21.6<BR>\n" );
document.write( "4.65 inches is the side of the box </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );