document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=973706>Question 973706</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me so e this question: The surface area of a square pyramid is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=95+in%5E2 ALIGN=MIDDLE  ALT=\"95+in%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > The side length of the base is 5 inches. What is the value of X? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595806 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=595806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is X? Is it the slant height of the pyramid? Or is it the height of the pyramid?<BR>\n" );
document.write( "A right square pyramid is a pyramid with a square base,<BR>\n" );
document.write( "and four triangular faces meeting at a vertex that is exactly above the center of the base.<BR>\n" );
document.write( "The four triangular faces are congruent (same shape and size).<BR>\n" );
document.write( "The distance from the base to the vertex of the pyramid is the height of the pyramid.<BR>\n" );
document.write( "The distance from the vertex to each side of the base<BR>\n" );
document.write( "(the height of the isosceles triangle that is one of those four triangular faces)<BR>\n" );
document.write( "is called the slant height of the pyramid.<BR>\n" );
document.write( "The total surface area of a pyramid is the area of the base plus the lateral area (the area of the four triangular faces).<BR>\n" );
document.write( "If the side length of the base of a square pyramid is 5 inches,<BR>\n" );
document.write( "the surface area of the square base is 25 square inches:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285inch%29%2A%285inch%29=25inch%5E2 ALIGN=MIDDLE  ALT=\"%285inch%29%2A%285inch%29=25inch%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "If the total surface area of the square pyramid in the problem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=95inch%5E2 ALIGN=MIDDLE  ALT=\"95inch%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the base surface area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25inch%5E2 ALIGN=MIDDLE  ALT=\"25inch%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "the lateral area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=95inch%5E2-25inch%5E2=70inch%5E2 ALIGN=MIDDLE  ALT=\"95inch%5E2-25inch%5E2=70inch%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The area of each triangular face is the length of the side of the base, times the slant height, and divided by 2.<BR>\n" );
document.write( "For this problem, that area of one triangular face is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285inches%29%2Aslant_height%2F2 ALIGN=MIDDLE  ALT=\"%285inches%29%2Aslant_height%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the area of all 4 triangular faces is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%28%285inches%29%2Aslant_height%2F2%29=70inch%5E2 ALIGN=MIDDLE  ALT=\"4%2A%28%285inches%29%2Aslant_height%2F2%29=70inch%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2A%285inches%29%2F2%29%2Aslant_height=70inch%5E2 ALIGN=MIDDLE  ALT=\"%284%2A%285inches%29%2F2%29%2Aslant_height=70inch%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810inches%29%2Aslant_height=70inch%5E2 ALIGN=MIDDLE  ALT=\"%2810inches%29%2Aslant_height=70inch%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slant_height=70inch%5E2%2F%2210+inch%22 ALIGN=MIDDLE  ALT=\"slant_height=70inch%5E2%2F%2210+inch%22\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slant_height=7inch ALIGN=MIDDLE  ALT=\"slant_height=7inch\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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