document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=624374>Question 624374</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm trying to find the surface area of a regular pyramid. The base is a square, it's side lengths are 5ft, and the slant height is 6ft. How do I find the apothem so I can complete the equation SA=LA+1/2(A)(P)<BR>\n" );
document.write( "I did the lateral area calculations with the formula LA=1/2(P)(H)<BR>\n" );
document.write( "LA=0.5(25)(6), but now I need to know how to get the apothem in order to find the surface area. Please explain it. 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 #392733 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=392733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the pyramid has a square base.<BR>\n" );
document.write( "your dimensions are:<BR>\n" );
document.write( "length of base is equal to 5 feet.<BR>\n" );
document.write( "slant height is equal to 6 feet.<BR>\n" );
document.write( "you want to find the surface area.<BR>\n" );
document.write( "the slant height of the pyramid is the apothem which is the height of each triangular face.<BR>\n" );
document.write( "you have all the information you need.<BR>\n" );
document.write( "the area of the base is 5*5 = 25 square feet.<BR>\n" );
document.write( "the area of one of the triangular faces of the pyramid is equal to 1/2 * 5 * 6 = 15.<BR>\n" );
document.write( "multiply that by 4 and you get a total of 60 square feet for the triangular faces.<BR>\n" );
document.write( "add all those together and you get a total surface area of 60 + 25 = 85 square feet.<BR>\n" );
document.write( "a reference can be found here:<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"http://mathworld.wolfram.com/SlantHeight.html\" target = \"_blank\">http://mathworld.wolfram.com/SlantHeight.html</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );