document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=820971>Question 820971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> your making a metal tray by cutting equal squares from each corner of a rectangular sheet of metal. what should be the dimension of each cut out square be for the volume of the tray to be 60 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 #493818 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=493818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have too many variables as described, but to begin, <BR>\n" );
document.write( "Let h = one length of the original rectangle,<BR>\n" );
document.write( "Let v = perpendicular length of the original rectangle,<BR>\n" );
document.write( "let x = the side of the square to remove from each corner of the original rectangle.\r<BR>\n" );
document.write( "\n" );
document.write( "Let c = the expected capacity of the tray when finished, in this case, 60 cubic inches.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Draw a picture of this rectangle and its corner, square cut pieces to be removed.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "...\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "One direction along the bottom will be h-2x, and the other direction along the bottom will be v-2x.  The up-down direction for the tray will be x.  The equation which will describe your expected c is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28h-2x%29%28v-2x%29x=c ALIGN=MIDDLE  ALT=\"%28h-2x%29%28v-2x%29x=c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Putting that into the most general form will still not be much help until you have values for h and v.<BR>\n" );
document.write( "'<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hv-2vx-2hx%2B4x%5E2-c=0 ALIGN=MIDDLE  ALT=\"hv-2vx-2hx%2B4x%5E2-c=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-2%28v%2Bh%29x%2Bhv-c=0 ALIGN=MIDDLE  ALT=\"4x%5E2-2%28v%2Bh%29x%2Bhv-c=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "'<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%282%28v%2Bh%29%2Bsqrt%284%28v%2Bh%29%5E2-4%2A4%28hv-c%29%29%29%2F%282%2A4%29 ALIGN=MIDDLE  ALT=\"x=%282%28v%2Bh%29%2Bsqrt%284%28v%2Bh%29%5E2-4%2A4%28hv-c%29%29%29%2F%282%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or (ignoring the \"negative\" square root x=()/())<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%28%28v%2Bh%29%2Bsqrt%28%28v%2Bh%29%5E2-4%28hv-c%29%29%29%2F%284%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%28%28v%2Bh%29%2Bsqrt%28%28v%2Bh%29%5E2-4%28hv-c%29%29%29%2F%284%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Be sure that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hv%3E=0 ALIGN=MIDDLE  ALT=\"hv%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );