document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=467008>Question 467008</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with this question:<BR>\n" );
document.write( "A pyramid has a rectangular base. Suppose that the edges of the base and the height of the pyramid are all doubled in length. What happens to the volume? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #320294 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=320294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with the formula for the volume of a rectangular pyramid:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%281%2F3%29B%2Ah ALIGN=MIDDLE  ALT=\"V+=+%281%2F3%29B%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" > Where B = area of the base of the pyramid (L*W) and h = its perpendicular height.<BR>\n" );
document.write( "Let's say that the area of the base of the original pyramid is given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ab ALIGN=MIDDLE  ALT=\"a%2Ab\"   DISABLED_style= \"max-width:90%; height:auto;\" > and its height is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Its volume is then:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28V%5B1%5D+=+%281%2F3%29abh%29 ALIGN=MIDDLE  ALT=\"highlight%28V%5B1%5D+=+%281%2F3%29abh%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we'll double the three dimensions to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a ALIGN=MIDDLE  ALT=\"2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b ALIGN=MIDDLE  ALT=\"2b\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2h ALIGN=MIDDLE  ALT=\"2h\"   DISABLED_style= \"max-width:90%; height:auto;\" > and find the new volume:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B2%5D+=+%281%2F3%29%282a%29%282b%29%282h%29 ALIGN=MIDDLE  ALT=\"V%5B2%5D+=+%281%2F3%29%282a%29%282b%29%282h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplifying this we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28V%5B2%5D+=+%281%2F3%29%288%29abh%29 ALIGN=MIDDLE  ALT=\"highlight_green%28V%5B2%5D+=+%281%2F3%29%288%29abh%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "As you can see, the new volume is 8 times the original volume. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );