document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=668827>Question 668827</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An open-top box is constructed from a square sheet of tin, 14 inches on each side, by cutting out equal squares at each corner and then folding up the flaps. Express the volume of the box as a function of x, the length of the side of each cutout square. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415883 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=415883\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x inches length is cut off from the corners<BR>\n" );
document.write( "so the base of the box will be (14-x) , (14-x)<BR>\n" );
document.write( "and height = x\r<BR>\n" );
document.write( "\n" );
document.write( "V= (14-x)^2*x<BR>\n" );
document.write( "V=(196-28x+x^2)*x<BR>\n" );
document.write( "V=x^3-28x^2+196x </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );