document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1078977>Question 1078977</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a square pyramid's base has a perimeter of 96 cm and a total surface area of 2352 square cm. \r<BR>\n" );
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document.write( "a) find its volume \r<BR>\n" );
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document.write( "b) how many liters will fit in this pyramid  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #693437 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=693437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Perimeter is 96 cm so side is 24 cm and area of base is 24^2=576 cm^2<BR>\n" );
document.write( "that leaves 1776 cm^2 for 4 sides, so each side has to have an area of 444 cm^2.<BR>\n" );
document.write( "The base is 24 cm, and the slant height must be 37 cm, so that 1/2*b*h=444<BR>\n" );
document.write( "The volume needs h, which is 12^2+h^2=37^2, where the slant height becomes the hypotenuse.<BR>\n" );
document.write( "144+h^2=1369<BR>\n" );
document.write( "h^2=1225<BR>\n" );
document.write( "h=35 cm<BR>\n" );
document.write( "V=(1/3)Bh=(1/3)*573*35=6685 cm^3<BR>\n" );
document.write( "That is 6.685 liters. </SPAN>\n" );
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