document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=985186>Question 985186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A lead pencil whose ends are regular hexagons was cut from a cylindrical piece of wood with the least waste.If the original piece was 8 in.long and 1\4in.in diameter.Find the volume of the pencil?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #606022 by </B><A HREF=/tutors/aboutme.mpl?userid=srinivas.g><B>srinivas.g(540)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=srinivas.g><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=srinivas.g><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=606022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A hexagon may be viewed as 6 equilateral triangles with a common apex. Given \"the least waste\", the side of each of these triangles is s = 1/4 in. <BR>\n" );
document.write( "So the base of 1 triangle is b = 1/4 in; the height for an equilateral triangle can be shown to be h = b&#8730;3/2, so the total area of the pencil is <BR>\n" );
document.write( "A = 6(½bh) = (6)½(1/4\")(1/4\")&#8730;3/2 = 3&#8730;3/32 in² <BR>\n" );
document.write( "Then V = (3&#8730;3/32 in²)(8 in) = 3&#8730;3/4 in³ &#8776; 1.3 in³  </SPAN>\n" );
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