document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036922>Question 1036922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a regular hexagonal prism is made up of six equilateral triangular prisms. If two adjacent triangular prisms are removed find the total surface area of the remaining parts of the hexagonal prism whose base side is 6 and height is 27.\r<BR>\n" );
document.write( "\n" );
document.write( "So the answer is 72&#8730;3 + 972 but I have no idea how you get the answer. \r<BR>\n" );
document.write( "\n" );
document.write( "I figured out that the area of the hexagonal prism is 972 + 108&#8730;3 but after that I'm stuck. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651649 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I get the same area for the hexagonal prism<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+6s%2A%28+a+%2B+h+%29+ ALIGN=MIDDLE  ALT=\"+A+=+6s%2A%28+a+%2B+h+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+6+ ALIGN=MIDDLE  ALT=\"+s+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+3%2Asqrt%283%29+ ALIGN=MIDDLE  ALT=\"+a+=+3%2Asqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+27+ ALIGN=MIDDLE  ALT=\"+h+=+27+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+6%2A6%2A%28+3%2Asqrt%283%29+%2B+27+%29+ ALIGN=MIDDLE  ALT=\"+A+=+6%2A6%2A%28+3%2Asqrt%283%29+%2B+27+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+108%2Asqrt%283%29+%2B+972+ ALIGN=MIDDLE  ALT=\"+A+=+108%2Asqrt%283%29+%2B+972+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "By removing 2 adjacent triangular prisms,<BR>\n" );
document.write( "The first obvious thing is you remove 2 of <BR>\n" );
document.write( "the rectangular faces, so you have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B2%5D+=+6s%2A%28+a+%2B+h+%29+-+2%2As%2Ah+ ALIGN=MIDDLE  ALT=\"+A%5B2%5D+=+6s%2A%28+a+%2B+h+%29+-+2%2As%2Ah+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "You have created 2 new areas internal to the hexagonal<BR>\n" );
document.write( "prism. Each one has an area of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%2Ah+ ALIGN=MIDDLE  ALT=\"+s%2Ah+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, now you have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B3%5D+=+6s%2A%28+a+%2B+h+%29+-+2%2As%2Ah+%2B+2%2As%2Ah+ ALIGN=MIDDLE  ALT=\"+A%5B3%5D+=+6s%2A%28+a+%2B+h+%29+-+2%2As%2Ah+%2B+2%2As%2Ah+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you are back to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B3%5D+=+6s%2A%28+a+%2B+h+%29+ ALIGN=MIDDLE  ALT=\"+A%5B3%5D+=+6s%2A%28+a+%2B+h+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "You have also lost <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F6+%2B+1%2F6+=+1%2F3+ ALIGN=MIDDLE  ALT=\"+1%2F6+%2B+1%2F6+=+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of both<BR>\n" );
document.write( "top and bottom surfaces, <BR>\n" );
document.write( "surfaces.<BR>\n" );
document.write( "Now you have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B4%5D+=+6s%2A%28+a+%2B+h+%29+-+%281%2F3%29%2A%28+6s%2Aa+%29+ ALIGN=MIDDLE  ALT=\"+A%5B4%5D+=+6s%2A%28+a+%2B+h+%29+-+%281%2F3%29%2A%28+6s%2Aa+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B4%5D+=+%282%2F3%29%2A%28+6s%2Aa+%29+%2B+6s%2Ah+ ALIGN=MIDDLE  ALT=\"+A%5B4%5D+=+%282%2F3%29%2A%28+6s%2Aa+%29+%2B+6s%2Ah+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B4%5D+=+4s%2Aa+%2B+6%2As%2Ah+ ALIGN=MIDDLE  ALT=\"+A%5B4%5D+=+4s%2Aa+%2B+6%2As%2Ah+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B4%5D+=+4%2A6%2A3%2Asqrt%283%29+%2B+6%2A6%2A27+ ALIGN=MIDDLE  ALT=\"+A%5B4%5D+=+4%2A6%2A3%2Asqrt%283%29+%2B+6%2A6%2A27+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5B4%5D+=+72%2Asqrt%283%29+%2B+972+ ALIGN=MIDDLE  ALT=\"+A%5B4%5D+=+72%2Asqrt%283%29+%2B+972+\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Check my math and ( if you can ) get a 2nd<BR>\n" );
document.write( "opinion. This is a visualization problem,<BR>\n" );
document.write( "which I can mess up easily </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );