document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=229540>Question 229540</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the length of the edge of a cube if, after a slice 1 inch thick is cut from one side, the volume remaining is 294 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 #170158 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=170158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Not sure of an easy way to do this one other than trial and error or plotting<BR>\n" );
document.write( "Let l be the original length of one side<BR>\n" );
document.write( "After cutting off one inch, the new volume is 294<BR>\n" );
document.write( "So<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l%5E2+%2A+%28l-1%29+=+294 ALIGN=MIDDLE  ALT=\"l%5E2+%2A+%28l-1%29+=+294\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l%5E3+-+l%5E2+=+294 ALIGN=MIDDLE  ALT=\"l%5E3+-+l%5E2+=+294\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's try 5<BR>\n" );
document.write( "Does 125 - 25 = 294? Nope, too small<BR>\n" );
document.write( "Try 10<BR>\n" );
document.write( "Does 1000 - 100 = 294? Nope too big<BR>\n" );
document.write( "Try 7<BR>\n" );
document.write( "Does <BR>\n" );
document.write( "343 - 49 = 294? Yepper. So the answer is 7.\r<BR>\n" );
document.write( "\n" );
document.write( "You could also plot <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l%5E3+-+l%5E2+=+294 ALIGN=MIDDLE  ALT=\"l%5E3+-+l%5E2+=+294\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "See this URL<BR>\n" );
document.write( "http://www.wolframalpha.com/input/?i=l^3+-+l^2+%3D+294\r<BR>\n" );
document.write( "\n" );
document.write( "There may be a more elegant path using algebra proper, but sometimes the easiest path to a solution isn't the most elegant </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );