document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=267524>Question 267524</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need help with the following:\r<BR>\n" );
document.write( "\n" );
document.write( "A box is being constructed by cutting 3-inch squares from the corners of a rectangualr sheet of metal that is 4 inches longer than it is wide. If the box is to have a volume of 135 cubic inches, find the dimensions of the metal sheet. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #196347 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=196347\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A box is being constructed by cutting 3-inch squares from the corners of a rectangular sheet of metal that is 4 inches longer than it is wide.<BR>\n" );
document.write( " If the box is to have a volume of 135 cubic inches, find the dimensions of the metal sheet.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Assume they mean an open box.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Cutting 3\" squares from each corner make the box base dimensions 6\" less than the metal sheet<BR>\n" );
document.write( "We know the height of the box = 3\" therefore:<BR>\n" );
document.write( "Area of the base = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=135%2F3 ALIGN=MIDDLE  ALT=\"135%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 45 sq/in<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = width of the metal<BR>\n" );
document.write( "then we can say:<BR>\n" );
document.write( "(x+4) = length of the metal<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The base of the box dimensions: (x-6) by (x+4-6)<BR>\n" );
document.write( "The area<BR>\n" );
document.write( "(x-6)*(x-2) = 45<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "x^2 - 2x - 6x + 12 = 45<BR>\n" );
document.write( "x^2 - 8x + 12 - 45 = 0<BR>\n" );
document.write( "x^2 - 8x - 33 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(x-11)(x+3) = 0<BR>\n" );
document.write( "positive solution<BR>\n" );
document.write( "x = 11\" is the width of the metal sheet<BR>\n" );
document.write( "then<BR>\n" );
document.write( "11+4 = 15\" is the length<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that's true<BR>\n" );
document.write( "(11-6) * (15-6) * 3 = <BR>\n" );
document.write( "5 * 9 * 3 = 135 cu/in  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );