document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=853297>Question 853297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An open box is to be made from a square sheet of tin-plate by cutting out 2 cm squares from each corner and folding up the sides. If the required capacity of the box is to be 32cm3, find the dimensions of the sheet of the tin-plate required. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #514002 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=514002\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the side of the sheet be x\r<BR>\n" );
document.write( "\n" );
document.write( "2 cm cut off from both ends\r<BR>\n" );
document.write( "\n" );
document.write( "side of box = (x-4)\r<BR>\n" );
document.write( "\n" );
document.write( "height = 2cm. \r<BR>\n" );
document.write( "\n" );
document.write( "Volume of box = base ^2 * height\r<BR>\n" );
document.write( "\n" );
document.write( "32= (x-4)^2*2\r<BR>\n" );
document.write( "\n" );
document.write( "16= (x-4)^2\r<BR>\n" );
document.write( "\n" );
document.write( "take square root<BR>\n" );
document.write( "x-4 = 4<BR>\n" );
document.write( "x= 8\r<BR>\n" );
document.write( "\n" );
document.write( "Side of sheet = 8 cm\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );