document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204261>Question 1204261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A right pyramid has a square base.  The area of each triangular face is one-third the area of the square face.   If the total surface area of the pyramid is $432$ square units, then what is the volume of the pyramid in cubic units? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840406 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=840406\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Surface area : \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A=+++b%5E2++%2B+4+%2A+%28+b%5E2+%2F3%29+ ALIGN=MIDDLE  ALT=\"+A=+++b%5E2++%2B+4+%2A+%28+b%5E2+%2F3%29+\"   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=+A=+++%287%2F3%29b%5E2 ALIGN=MIDDLE  ALT=\"+A=+++%287%2F3%29b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "given that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A=432 ALIGN=MIDDLE  ALT=\"+A=432\"   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=+432+=+%287%2F3%29b%5E2 ALIGN=MIDDLE  ALT=\"+432+=+%287%2F3%29b%5E2\"   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=+b%5E2+=432%2F%287%2F3%29+=432+%28+3%2F7%29++=+1296+%2F+7 ALIGN=MIDDLE  ALT=\"+b%5E2+=432%2F%287%2F3%29+=432+%28+3%2F7%29++=+1296+%2F+7\"   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=+b+=+sqrt+%281296%2F+7%29++ ALIGN=MIDDLE  ALT=\"+b+=+sqrt+%281296%2F+7%29++\"   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=+b=+36+%2Fsqrt+%287%29 ALIGN=MIDDLE  ALT=\"+b=+36+%2Fsqrt+%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To find the  slant  height, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s ALIGN=MIDDLE  ALT=\"+s\"   DISABLED_style= \"max-width:90%; height:auto;\" >, of the pyramid\r<BR>\n" );
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document.write( "area of face = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29b%2As ALIGN=MIDDLE  ALT=\"+%281%2F2%29b%2As\"   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=+b%5E2+%2F+3+=++%281%2F2%29+%2836+%2F+sqrt%28+7%29%29%2As ALIGN=MIDDLE  ALT=\"+b%5E2+%2F+3+=++%281%2F2%29+%2836+%2F+sqrt%28+7%29%29%2As\"   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=+1296+%2F+%287%2A3%29++=+%2818+%2F+sqrt+%287%29%29%2As ALIGN=MIDDLE  ALT=\"+1296+%2F+%287%2A3%29++=+%2818+%2F+sqrt+%287%29%29%2As\"   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=+s+=+%281296+%2F+21%29+%2F%2818+%2F+sqrt+%287%29%29 ALIGN=MIDDLE  ALT=\"+s+=+%281296+%2F+21%29+%2F%2818+%2F+sqrt+%287%29%29\"   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=+s=++24+%2F+sqrt+%287%29 ALIGN=MIDDLE  ALT=\"+s=++24+%2F+sqrt+%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To find the height, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h ALIGN=MIDDLE  ALT=\"+h\"   DISABLED_style= \"max-width:90%; height:auto;\" >, of the pyramid by the Pythagorean Theorem\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h++=++sqrt++%28+s%5E2++-+%28b%2F2%29%5E2+%29 ALIGN=MIDDLE  ALT=\"+h++=++sqrt++%28+s%5E2++-+%28b%2F2%29%5E2+%29\"   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=+h+=++sqrt+%28+%2824%2Fsqrt+%287%29%29%5E2++-+%2818%2Fsqrt%28+7%29%29%5E2+%29 ALIGN=MIDDLE  ALT=\"+h+=++sqrt+%28+%2824%2Fsqrt+%287%29%29%5E2++-+%2818%2Fsqrt%28+7%29%29%5E2+%29\"   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=+h+=+++6 ALIGN=MIDDLE  ALT=\"+h+=+++6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Volume of pyramid\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+V=%281%2F3%29+%28b%5E2%29+%2A+h ALIGN=MIDDLE  ALT=\"+V=%281%2F3%29+%28b%5E2%29+%2A+h\"   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=%281%2F3%29+%281296++%2F+7%29+%2A+6+ ALIGN=MIDDLE  ALT=\"+V=%281%2F3%29+%281296++%2F+7%29+%2A+6+\"   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=+++%282592+%2F+7%29+ ALIGN=MIDDLE  ALT=\"+V=+++%282592+%2F+7%29+\"   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+ ALIGN=MIDDLE  ALT=\"+V+\"   DISABLED_style= \"max-width:90%; height:auto;\" >≈ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+370.29+ ALIGN=MIDDLE  ALT=\"+370.29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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