document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=965309>Question 965309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a square pyramid has base edge length 10 cm. the slant height of the pyramid is 13 cm. what is the volume of the pyramid? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590029 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=590029\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You want the height of the pyramid so you could use volume as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29h%2As%5E2 ALIGN=MIDDLE  ALT=\"%281%2F3%29h%2As%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where s is side length of the base and h is height of pyramid.  The given slant height will help you find the pyramid height.\r<BR>\n" );
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document.write( "Let slant height be L, and h be pyramid height, and s be base edge length.<BR>\n" );
document.write( "The slant height is the hypotenuse of a triangle with legs s/5 and L.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%28%28s%2F5%29%5E2%2BL%5E2%29 ALIGN=MIDDLE  ALT=\"h=sqrt%28%28s%2F5%29%5E2%2BL%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You have for this,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=sqrt%28%2810%2F2%29%5E2%2B13%5E2%29 ALIGN=MIDDLE  ALT=\"h=sqrt%28%2810%2F2%29%5E2%2B13%5E2%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=sqrt%2825%2B169%29 ALIGN=MIDDLE  ALT=\"h=sqrt%2825%2B169%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=sqrt%28194%29 ALIGN=MIDDLE  ALT=\"h=sqrt%28194%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Your volume is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29sqrt%28194%2910%5E2 ALIGN=MIDDLE  ALT=\"%281%2F3%29sqrt%28194%2910%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which you can simplify. </SPAN>\n" );
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