document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011292>Question 1011292</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of one face of a certain prism is x^2 – 9 square cm. If its volume is x^6 – 729 cubic cm, determine the following:\r<BR>\n" );
document.write( "\n" );
document.write( "  a. height of the prism<BR>\n" );
document.write( "  b. possible length and width of the prism\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #626911 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=626911\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Depends on which face area is the x^2-9.  Maybe this face has dimensions (x-9) and (x+9).  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Height could be  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E6-729%29%2F%28x%5E2-9%29 ALIGN=MIDDLE  ALT=\"%28x%5E6-729%29%2F%28x%5E2-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Look at the numerator.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E6-729%29=%28x%5E3-27%29%28x%5E3%2B27%29 ALIGN=MIDDLE  ALT=\"%28x%5E6-729%29=%28x%5E3-27%29%28x%5E3%2B27%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%28x%5E2%2B3x%2B9%29%28x%2B3%29%28x%5E2-3x%2B9%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%28x%5E2%2B3x%2B9%29%28x%2B3%29%28x%5E2-3x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The height could be, using that,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-3%29%28x%5E2%2B3x%2B9%29%28x%2B3%29%28x%5E2-3x%2B9%29%29%2F%28%28x-3%29%28x%2B3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x%5E2%2B3%2B9%29%28x%5E2-3x%2B9%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x%5E2%2B3%2B9%29%28x%5E2-3x%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );