document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1021774>Question 1021774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the roof of a house is shaped like a right pyramid with a square base. the base of the pyramid measures 32ft on each side, and the roof must enclose a volume of at least 4096 ft cubed of air. calculate the minimum height for the apex of the roof </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #637497 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=637497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "a=base length; h=height<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%281%2F3%29%28a%5E2%29h ALIGN=MIDDLE  ALT=\"V=%281%2F3%29%28a%5E2%29h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3V=%28a%5E2%29h ALIGN=MIDDLE  ALT=\"3V=%28a%5E2%29h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3V%2Fa%5E2=h ALIGN=MIDDLE  ALT=\"3V%2Fa%5E2=h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%284096ft%5E3%29%29%2F%2832ft%29%5E2=h ALIGN=MIDDLE  ALT=\"%283%284096ft%5E3%29%29%2F%2832ft%29%5E2=h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812288ft%5E3%29%2F%281024ft%5E2%29=h ALIGN=MIDDLE  ALT=\"%2812288ft%5E3%29%2F%281024ft%5E2%29=h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12ft=h ALIGN=MIDDLE  ALT=\"12ft=h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "ANSWER: Minimum height is 12 feet.<BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );