document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=260750>Question 260750</A>: <I><SPAN STYLE=\"word-break: break-all;\"> From a 24-inch by 24-inch piece Of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express the volume as a function of x. Graph the function and from the graph determine the value of x, to the nearest tenth of an inch, that will yield the maximum volume. \r<BR>\n" );
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document.write( "I know that volume is a product of width x length x height, but I'm not sure how to express this as a function of x. Can someone please explain this to me?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #192114 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=192114\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The new length is: 24-2x<BR>\n" );
document.write( "The new width is: 24-2x<BR>\n" );
document.write( "the new height is: x<BR>\n" );
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document.write( "Volume = (24-2x)(24-2x)(x)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-20%2C+20%2C+-100%2C+1200%2C+4x%5E3-96x%5E2%2B576x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-20%2C+20%2C+-100%2C+1200%2C+4x%5E3-96x%5E2%2B576x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The maximum appears to be at<BR>\n" );
document.write( "4, 1024 </SPAN>\n" );
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