document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1009845>Question 1009845</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A frustum of a pyramid with 5 sides as its base has base edges measuring 37 cm and 9 cm. Determine the volume of the frustum if its height measures 35 cm.  Express answers in cubic cm and using two decimal places.\r<BR>\n" );
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document.write( "I need this now please </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #625387 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=625387\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The way I interpret the problem, I think your frustum looks like this(viewed from above):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-35%2C35%2C-56%2C14%2C%0D%0Aline%28-7.28%2C7.7%2C-4.5%2C0%29%2C%0D%0Aline%28-4.5%2C0%2C4.5%2C0%29%2C%0D%0Aline%284.5%2C0%2C7.28%2C7.7%29%2C%0D%0Aline%287.28%2C7.7%2C0%2C11.94%29%2C%0D%0Aline%280%2C11.94%2C-7.28%2C7.7%29%2C%0D%0Aline%28-31.6%2C-20.33%2C-19.5%2C-50%29%2C%0D%0Aline%28-19.5%2C-50%2C19.5%2C-50%29%2C%0D%0Aline%2819.5%2C-50%2C31.6%2C-20.33%29%2C%0D%0Aline%28-31.6%2C-20.33%2C-7.28%2C7.7%29%2C%0D%0Aline%28-19.5%2C-50%2C-4.5%2C0%29%2C%0D%0Aline%2819.5%2C-50%2C4.5%2C0%29%2C%0D%0Aline%2831.6%2C-20.33%2C7.28%2C7.7%29%2C%0D%0Alocate%28-1.8%2C0%2C9cm%29%2Clocate%28-2.5%2C-46%2C37cm%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Here is a front view, showing the cone that frustum was made from:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C300%2C-33%2C39%2C-4%2C52%2C%0D%0Aline%28-31.6%2C0%2C31.6%2C0%29%2C%0D%0Aline%28-7.28%2C35%2C7.28%2C35%29%2C%0D%0Aline%28-31.6%2C0%2C-7.28%2C35%29%2C%0D%0Aline%2831.6%2C0%2C7.28%2C35%29%2C%0D%0Aline%28-4.5%2C35%2C-19.5%2C0%29%2C%0D%0Aline%284.5%2C35%2C19.5%2C0%29%2C%0D%0Alocate%28-1.8%2C35%2C9cm%29%2Clocate%28-2.5%2C3%2C37cm%29%2C%0D%0Agreen%28triangle%28-7.28%2C35%2C7.28%2C35%2C0%2C46.25%29%29%2C%0D%0Agreen%28triangle%28-4.5%2C35%2C4.5%2C35%2C0%2C46.25%29%29%2C%0D%0Alocate%2829%2C19%2C35cm%29%2C%0D%0Aarrow%2832%2C20%2C32%2C35%29%2Carrow%2832%2C15%2C32%2C0%29%2C%0D%0Alocate%2836.3%2C24.6%2Ch%29%2C%0D%0Aarrow%2837%2C25.6%2C37%2C46.25%29%2Carrow%2837%2C20.6%2C37%2C0%29%2C%0D%0Agreen%28arrow%288%2C35%2C8%2C46.25%29%29%2C%0D%0Agreen%28arrow%288%2C46.25%2C8%2C35%29%29%2C%0D%0Alocate%288.5%2C43%2Cgreen%28h-35cm%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The triangles representing the front face of the pyramids in the from view picture are similar,<BR>\n" );
document.write( "so their length measurements area proportional.<BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28h-35%29%2F9=h%2F37 ALIGN=MIDDLE  ALT=\"%28h-35%29%2F9=h%2F37\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37%28h-35%29=9h ALIGN=MIDDLE  ALT=\"37%28h-35%29=9h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37h-1295=9h ALIGN=MIDDLE  ALT=\"37h-1295=9h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37h-9h=1295 ALIGN=MIDDLE  ALT=\"37h-9h=1295\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28h=1295 ALIGN=MIDDLE  ALT=\"28h=1295\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=1295%2F28 ALIGN=MIDDLE  ALT=\"h=1295%2F28\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=46.25 ALIGN=MIDDLE  ALT=\"h=46.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h-35=11.25 ALIGN=MIDDLE  ALT=\"h-35=11.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we can calculate<BR>\n" );
document.write( "the volume of the large pyramid with a height of 46.25cm,<BR>\n" );
document.write( "the volume of the small pyramid with a height of 11.25cm,<BR>\n" );
document.write( "and the volume of the frustum (the difference between the volumes of those two pyramids.<BR>\n" );
document.write( "The volume of a pyramid can be calculated as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%281%2F3%29%2Abase_area%2Aheight ALIGN=MIDDLE  ALT=\"V=%281%2F3%29%2Abase_area%2Aheight\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The area of a pentagon can be calculated as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=area=%281%2F4%29side%5E2%2A5%2Atan%2854%5Eo%29=approximately1.72%2Aside%5E2 ALIGN=MIDDLE  ALT=\"area=%281%2F4%29side%5E2%2A5%2Atan%2854%5Eo%29=approximately1.72%2Aside%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So the approximate volume of the smaller pyramid, in cubic cm is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5Btop%5D=%281%2F3%29%2A1.75%2A9%5E2%2A11.25=522.45 ALIGN=MIDDLE  ALT=\"V%5Btop%5D=%281%2F3%29%2A1.75%2A9%5E2%2A11.25=522.45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The approximate volume of the larger pyramid can be calculated similarly to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36301.32 ALIGN=MIDDLE  ALT=\"36301.32\"   DISABLED_style= \"max-width:90%; height:auto;\" > cubic centimeters.<BR>\n" );
document.write( "Then the approximate volume of the frustum, in cubic cm is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36301.32-522.45=35778.87 ALIGN=MIDDLE  ALT=\"36301.32-522.45=35778.87\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Because the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.72 ALIGN=MIDDLE  ALT=\"1.72\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not the exact value of the irrational quantity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Atan%2854%5Eo%29%2F4 ALIGN=MIDDLE  ALT=\"5%2Atan%2854%5Eo%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35800cm%5E3 ALIGN=MIDDLE  ALT=\"35800cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.58%2A10%5E4 ALIGN=MIDDLE  ALT=\"3.58%2A10%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cm%5E3 ALIGN=MIDDLE  ALT=\"cm%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be a more reasonable answer. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );