document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=769328>Question 769328</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of a right rectangular solid with a square base is 108in^3. Find the dimensions of the box if the height of the box is the same as the primeter of the box.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468851 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=468851\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As written, the problem is unclear. Perimeter is applied to 2-dimensional figures. Perimeter is the distance all around a 2-dimensional figure.  The word perimeter can not be applied to the 3-dimansional box. It could be applied to the square base of the box or to the rectangular side of the box.<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of a side of the square base of the box<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" >= height of the box<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x ALIGN=MIDDLE  ALT=\"4x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= perimeter of the base of the box<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2h ALIGN=MIDDLE  ALT=\"2x%2B2h\"   DISABLED_style= \"max-width:90%; height:auto;\" >= perimeter of the side of the box<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >= area of the base of the box<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29h ALIGN=MIDDLE  ALT=\"%28x%5E2%29h\"   DISABLED_style= \"max-width:90%; height:auto;\" >= volume of the box<BR>\n" );
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document.write( "The height of the box being the same as the perimeter of the side of the box,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=2x%2B2h ALIGN=MIDDLE  ALT=\"h=2x%2B2h\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "does not make sense, because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > must be both positive inch measurements.<BR>\n" );
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document.write( "It must be that the height of the box is the same as the perimeter of the base of the box,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=4x ALIGN=MIDDLE  ALT=\"h=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then the volume of the box is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%284x%29=108in%5E2 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%284x%29=108in%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%284x%29=108in%5E2 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%284x%29=108in%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E3=108in%5E2 ALIGN=MIDDLE  ALT=\"4x%5E3=108in%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3=108in%5E2%2F4 ALIGN=MIDDLE  ALT=\"x%5E3=108in%5E2%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3=27in%5E2 ALIGN=MIDDLE  ALT=\"x%5E3=27in%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=3in%29 ALIGN=MIDDLE  ALT=\"highlight%28x=3in%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then, the height of the box, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=4x ALIGN=MIDDLE  ALT=\"h=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=4%283in%29 ALIGN=MIDDLE  ALT=\"h=4%283in%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28h=12in%29 ALIGN=MIDDLE  ALT=\"highlight%28h=12in%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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