document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=11393>Question 11393</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i find the volume of a hexagonal pyramid? The Height is 31'-0\" and the sides are 21'-0\" apart.\r<BR>\n" );
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document.write( "                     Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #5939 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=5939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The volume of a regular pyramid is found by multiplying the area of the base by the height of the pyramid and dividing by 3. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%281%2F3%29Bh ALIGN=MIDDLE  ALT=\"V+=+%281%2F3%29Bh\"   DISABLED_style= \"max-width:90%; height:auto;\" > B = area of base.\r<BR>\n" );
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document.write( "You are given the height (31') but I'm having trouble figuring out what you mean by...\"the sides are 21' apart\" \r<BR>\n" );
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document.write( "If you know the length of each side of the hexagonal base, you can find its area. Also, if you know the length of the apothem of the hexagonal base, you can find the area. \r<BR>\n" );
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document.write( "Let's assume that the length of each side of the hexagonal base is 21'.<BR>\n" );
document.write( "The area of a regular polygon, in terms of the length of the sides, is given by:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281%2F4%29ns%5E2cot%28180%2Fn%29 ALIGN=MIDDLE  ALT=\"A+=+%281%2F4%29ns%5E2cot%28180%2Fn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Where: n = number of sides (6) and s = length of side (21')\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281%2F4%29%286%29%2821%5E2%29cot%28180%2F6%29 ALIGN=MIDDLE  ALT=\"A+=+%281%2F4%29%286%29%2821%5E2%29cot%28180%2F6%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+=+%281%2F4%29%286%29%28441%29cot%2830%29 ALIGN=MIDDLE  ALT=\"A+=+%281%2F4%29%286%29%28441%29cot%2830%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+=+%28661.5%29%281.732%29 ALIGN=MIDDLE  ALT=\"A+=+%28661.5%29%281.732%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+=+1145.75 ALIGN=MIDDLE  ALT=\"A+=+1145.75\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now multiply this by the height and divide by 3 to find the volume\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%281%2F3%291145.75%2831%29 ALIGN=MIDDLE  ALT=\"V+=+%281%2F3%291145.75%2831%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+=+11839.43 ALIGN=MIDDLE  ALT=\"V+=+11839.43\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cubic feet. </SPAN>\n" );
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