document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005909>Question 1005909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good day, can you help me with this problem?\r<BR>\n" );
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document.write( "An inverted square pyramid has a height equal to 24 cm.  It holds water to a depth of 18 cm above its apex.  Find the volume of its content if the top face has an area of 100 cm^2.\r<BR>\n" );
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document.write( "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 #622386 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=622386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There is a square base pyramid with<BR>\n" );
document.write( "a base area of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100cm%5E2 ALIGN=MIDDLE  ALT=\"100cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and<BR>\n" );
document.write( "a height of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24cm ALIGN=MIDDLE  ALT=\"24cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The volume of a pyramid with base area <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B ALIGN=MIDDLE  ALT=\"B\"   DISABLED_style= \"max-width:90%; height:auto;\" > and height <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5Bpyr%5D=Bh%2F3 ALIGN=MIDDLE  ALT=\"V%5Bpyr%5D=Bh%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So the volume of the pyramid is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5Bpyr%5D=%28100cm%5E2%29%2A%2824cm%29%2F3=800cm%5E3 ALIGN=MIDDLE  ALT=\"V%5Bpyr%5D=%28100cm%5E2%29%2A%2824cm%29%2F3=800cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That pyramid is inverted and filled with water to a height/depth of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18cm ALIGN=MIDDLE  ALT=\"18cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So, you have a pyramid of water inside the original pyramid.<BR>\n" );
document.write( "Both pyramids are similar solids, meaning that the water pyramid is a scaled-down version of the original pyramid.<BR>\n" );
document.write( "The scale is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%3A24 ALIGN=MIDDLE  ALT=\"18%3A24\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "meaning that every length measurement in the water pyramid is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F24=3%2F4 ALIGN=MIDDLE  ALT=\"18%2F24=3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the corresponding measurement in the original pyramid.<BR>\n" );
document.write( "The ratio of volumes of similar solids is the cube of the ratio of corresponding length measurements.<BR>\n" );
document.write( "So the volume of water in this problem is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5Bwater%5D=%283%2F4%29%5E3%2A%28800cm%5E3%29=%2827%2F64%29%2A%28800cm%5E3%29=highlight%28337.5cm%5E3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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