document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213543>Question 213543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box with an open top is to be constructed by cutting 3-inch squares from the corners of a rectangular sheet of tin whose length is twice its width. What size sheet will produce a box having a volume of 24in^3? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161341 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=161341\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> L=2W<BR>\n" );
document.write( "BOTTOM=(L-6)(W-6)<BR>\n" );
document.write( "BOTTOM=LW-6W-6L+36<BR>\n" );
document.write( "BOTTOM=2W*W-6W-6*2W+36<BR>\n" );
document.write( "BOTTOM=2W^2-6W-12W+36<BR>\n" );
document.write( "BOTTOM=2W^2-18W+36<BR>\n" );
document.write( "VOLUME=3(2W^2-18W+36)<BR>\n" );
document.write( "24=6W^2-54W+108<BR>\n" );
document.write( "0=6W^2-54W+108-24<BR>\n" );
document.write( "0=6W^2-54W+84<BR>\n" );
document.write( "0=6(W^2-9W+14)<BR>\n" );
document.write( "0=6(W-7)(W-2)<BR>\n" );
document.write( "W-7=0<BR>\n" );
document.write( "W=7 ANS. FOR THE WIDTH.<BR>\n" );
document.write( "L=2*7=14 ANS. FOR THE LENGTH.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "24=3(7-6)(14-6)<BR>\n" );
document.write( "24=3*1*8<BR>\n" );
document.write( "24=24 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );