document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=307047>Question 307047</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I had some problems deriving a algebraic equation from this word problem...\r<BR>\n" );
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document.write( "The volume of a rectangular box is 64ft^3.  If the width is 3 times longer than the height, and the length is 9 times longer than the height, find the dimensions of the box.\r<BR>\n" );
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document.write( "The formula for finding the volume of a retangular box is V=lwh.\r<BR>\n" );
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document.write( "I came up with 64=9l3wh, but no luck...and suggestions?  \r<BR>\n" );
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document.write( "Thanks again, you all rock!\r<BR>\n" );
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document.write( "Alex </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #219663 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=219663\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since \"the width is 3 times longer than the height, and the length is 9 times longer than the height\", this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=3H ALIGN=MIDDLE  ALT=\"W=3H\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=9H ALIGN=MIDDLE  ALT=\"L=9H\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=LWH ALIGN=MIDDLE  ALT=\"V=LWH\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given volume formula.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64=%289H%29%283H%29H ALIGN=MIDDLE  ALT=\"64=%289H%29%283H%29H\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=64 ALIGN=MIDDLE  ALT=\"V=64\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the given volume) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=3H ALIGN=MIDDLE  ALT=\"W=3H\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=9H ALIGN=MIDDLE  ALT=\"L=9H\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64=27H%5E3 ALIGN=MIDDLE  ALT=\"64=27H%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64%2F27=H%5E3 ALIGN=MIDDLE  ALT=\"64%2F27=H%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 27.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C64%2F27%29=H ALIGN=MIDDLE  ALT=\"root%283%2C64%2F27%29=H\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the cube root of both sides to isolate 'H'\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3=H ALIGN=MIDDLE  ALT=\"4%2F3=H\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the cube root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64%2F27 ALIGN=MIDDLE  ALT=\"64%2F27\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the height is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=4%2F3 ALIGN=MIDDLE  ALT=\"H=4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft. Simply plug this value into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=3H ALIGN=MIDDLE  ALT=\"W=3H\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=9H ALIGN=MIDDLE  ALT=\"L=9H\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find the width and length respectively. I'll let you do this. </SPAN>\n" );
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