document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023100>Question 1023100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The areas of the sides of a rectangular box are 12 in. squaredin.2&#8203;, 24 in. squaredin.2&#8203;, and 32 in .2. What is the volume of the&#8203; box? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638619 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638619\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let w = width in inches, h = height in inches, and l = length in inches.<BR>\n" );
document.write( "Without loss of generality, let \r<BR>\n" );
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document.write( "wh = 12, <BR>\n" );
document.write( "hl = 24, and <BR>\n" );
document.write( "lw = 32.\r<BR>\n" );
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document.write( "The first two equations imply that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Fw+=+24%2Fl ALIGN=MIDDLE  ALT=\"12%2Fw+=+24%2Fl\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> l = 2w ==> (2w)w = 32 after substitution into the 3rd equation.<BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2+=+16 ALIGN=MIDDLE  ALT=\"w%5E2+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> w = 4 inches.<BR>\n" );
document.write( "==> l = 8 inches, and h = 3 inches.\r<BR>\n" );
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document.write( "Therefore the volume is 3*4*8 = 96 cubic inches.<BR>\n" );
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