document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62559>Question 62559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for homework there is a challenge question that says:\r<BR>\n" );
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document.write( "This net will fold into a triangular pyramid. Find the surface area of the pyramid, and estimate its volume.<BR>\n" );
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document.write( "The height of the pyramid is 5.2cm and the length is 6cm  \r<BR>\n" );
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document.write( "I got this from the Math Impact Textbook, course 2(purple book) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43359 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=43359\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> for homework there is a challenge question that says:<BR>\n" );
document.write( "This net will fold into a triangular pyramid. Find the surface area of the pyramid, and estimate its volume.\r<BR>\n" );
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document.write( "The height of the pyramid is 5.2cm and the length is 6cm<BR>\n" );
document.write( "I got this from the Math Impact Textbook, course 2(purple book)<BR>\n" );
document.write( "base of triangular pyramid given is an equilateral triangle with side =6<BR>\n" );
document.write( "let the base be ABC and its centr be S.let the vertex of pyramid be V<BR>\n" );
document.write( "draw od perpendicular to BC.join OB.In right angled triangle OBD <BR>\n" );
document.write( "OB for equilateral triangle bisects BC and angle B.hence<BR>\n" );
document.write( "BD=6/2 = 3<BR>\n" );
document.write( "cos(B/2)=cos(60/2)=cos(30)=BD/OB<BR>\n" );
document.write( "sqrt(3)/2 = 3/OB<BR>\n" );
document.write( "OB = 3*2/sqrt(3) = 2sqrt(3)<BR>\n" );
document.write( "now if we join OV,then OVB is a right angled triangle with<BR>\n" );
document.write( "OV=height of pyramid = 5.2<BR>\n" );
document.write( " OB=2sqrt(3)<BR>\n" );
document.write( "OB^2=OV^2+OB^2=5.2^2+[2sqrt(3)]^2=39.04<BR>\n" );
document.write( "OB = 6.25<BR>\n" );
document.write( "OD/BD = tan(30)= 1/sqrt(3)<BR>\n" );
document.write( "OD = BD/sqrt(3)=3/sqrt(3)=sqrt(3)<BR>\n" );
document.write( "join VD....the slant height<BR>\n" );
document.write( "in right triangle OVD<BR>\n" );
document.write( "VD^2 = OV^2 + OD^2= 5.2^2+[sqrt(3)]^2=30.04<BR>\n" );
document.write( "VD=5.5 = slant height<BR>\n" );
document.write( "lateral surface area = 3*0.5*side*slant height<BR>\n" );
document.write( "LSA=1.5*6*5.5=49.5 \r<BR>\n" );
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document.write( "volume of pyramid = (1/3)*base area *ht<BR>\n" );
document.write( "base area = [side^2][sqrt(3)/4]= 36*sqrt(3)/4=9sqrt(3)<BR>\n" );
document.write( "volume = (1/3)9sqrt(3)*5.2=15.6sqrt(3)=27.02 </SPAN>\n" );
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