document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147958>Question 1147958</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Standard rectangular shipping box has a length which is 3.5 inches more than its height. The width is 3 inches less than its height. What is the height of the box if its volume is 561 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 #769295 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=769295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "height: x<BR>\n" );
document.write( "width: x-3<BR>\n" );
document.write( "length: x+3.5<br><BR>\n" );
document.write( "volume = length * width* height<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-3%29%28x%2B3.5%29+=+561 ALIGN=MIDDLE  ALT=\"x%28x-3%29%28x%2B3.5%29+=+561\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Probably solve using a graphing calculator....<br><BR>\n" );
document.write( "Or, if you are really good with mental arithmetic, solve by trial and error:<br><BR>\n" );
document.write( "561 = 11*51 = 3*11*17<br><BR>\n" );
document.write( "The problem says two of the dimensions differ by 3; and the factors 11 and 17 differ by 6.  That might lead you to<br><BR>\n" );
document.write( "3*11*17 = 12*(11/2)*(17/2)<br><BR>\n" );
document.write( "And those dimensions satisfy the conditions of the problem:<BR>\n" );
document.write( "x = 17/2 = 8.5<BR>\n" );
document.write( "x-3 = 11/2 = 5.5<BR>\n" );
document.write( "x+3.5 = 17/2+7/2 = 24/2 = 12<br><BR>\n" );
document.write( "ANSWER: the height of the box is x = 8.5 inches.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );