document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=370982>Question 370982</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Squares are cut from the corner of a rectangular sheet of metal 30 inches by 50 inches. The four sides are then turned up and soldered. How large are the squares if the volume open metal box is 2,392 cubic inches? 4,000 cubic inches? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #264330 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=264330\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> dimensions of plate = 30 by 50<BR>\n" );
document.write( "let he square cut has edge x cm.<BR>\n" );
document.write( "the length will reduce to 30-2x<BR>\n" );
document.write( "width will reduce to 50-2x<BR>\n" );
document.write( "height of box when folded will be x<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Volume of box = L*W*H= 2392<BR>\n" );
document.write( "x(50-2x)(30-2x)=2392<BR>\n" );
document.write( "4x(25-x)(15-x)= 2392<BR>\n" );
document.write( "4x(375-25x-15x+x^2)=2392<BR>\n" );
document.write( "4x(x^2-40x+375)=2392<BR>\n" );
document.write( "/4<BR>\n" );
document.write( "x(x^2-40x+375)=2392/4<BR>\n" );
document.write( "x^3-40x^2+375x-598=0<BR>\n" );
document.write( "solve for x<BR>\n" );
document.write( " you will get x=2 the width cut<BR>\n" );
document.write( "so the squares are 2 by 2 in<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );