document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=348109>Question 348109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Boxes are made by cutting 8 cm squares from the corners of sheets of cardboard and then folding. The sheets of cardboard are 6 cm longer than they are wide.<BR>\n" );
document.write( "For the sheet of cardboard whose width is x cm, find expressions, in terms of xm for:<BR>\n" );
document.write( "(i)(a) Length of the sheet<BR>\n" );
document.write( "b) The length of the finished box<BR>\n" );
document.write( "c) Width of the finished box<BR>\n" );
document.write( "(ii)Show that the volume of the box is 8x^2 - 208x + 1280cm^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #248900 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=248900\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let width of sheet be x cm<BR>\n" );
document.write( "length = x+6cm<BR>\n" );
document.write( "...<BR>\n" );
document.write( "width of box = x-16 cm<BR>\n" );
document.write( "width of sheet = x+6-16=x-10cm<BR>\n" );
document.write( "height = 8<BR>\n" );
document.write( "....<BR>\n" );
document.write( "Volume of box = L*W*H<BR>\n" );
document.write( "(x-16)(x-10)*8<BR>\n" );
document.write( "(x^2-26x+160)*8<BR>\n" );
document.write( "8x^2-208x+1280 cm^3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );