document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=628271>Question 628271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the maximum volume of a open box created from a square of side length 24? Keep in mind that V=LWH. So for this problem the dimensions are as follows:<BR>\n" );
document.write( "L = 24-2x, W = 24-2x and H = x. The maximum volume will be where the volume equation is the greatest.<BR>\n" );
document.write( "You are to determine:<BR>\n" );
document.write( "1. The volume equation.<BR>\n" );
document.write( "2. The maximum volume.<BR>\n" );
document.write( "3. The value of x that maximizes the volume </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #395555 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=395555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the maximum volume of a open box created from a square of side length 24? Keep in mind that V=LWH. So for this problem the dimensions are as follows:<BR>\n" );
document.write( "L = 24-2x, W = 24-2x and H = x. The maximum volume will be where the volume equation is the greatest.<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%2824-2x%29%5E2%2Ax+=+4x%5E3+-+96x%5E2+%2B+576x ALIGN=MIDDLE  ALT=\"V+=+%2824-2x%29%5E2%2Ax+=+4x%5E3+-+96x%5E2+%2B+576x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dV%2Fdx+=+12x%5E2+-+192x+=+0 ALIGN=MIDDLE  ALT=\"dV%2Fdx+=+12x%5E2+-+192x+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "V(4) = 256 cubic units<BR>\n" );
document.write( "-------------------------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );