document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023033>Question 1023033</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bottling company manufactures a bottle that has a volume of 243 milliliters. The company wants to make a new bottle that has dimensions 3 times smaller than the original. What will be the new volume of the new bottle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638579 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To make it simple, I'll say the bottle is a cube<BR>\n" );
document.write( "with volume <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+243+ ALIGN=MIDDLE  ALT=\"+243+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ml3<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Each side of this cube is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5E3+=+243+ ALIGN=MIDDLE  ALT=\"+s%5E3+=+243+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+6.24025+ ALIGN=MIDDLE  ALT=\"+s+=+6.24025+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Make the side 3 times smaller<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%2F3+=+2.080084+ ALIGN=MIDDLE  ALT=\"+s%2F3+=+2.080084+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Find the volume of the new cube <BR>\n" );
document.write( "with this side length<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+V+=+2.080084%5E3+ ALIGN=MIDDLE  ALT=\"+V+=+2.080084%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+V+=+9+ ALIGN=MIDDLE  ALT=\"+V+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ml3 is the new volume<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Another way to arrive at this is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5E3+=+243+ ALIGN=MIDDLE  ALT=\"+s%5E3+=+243+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+s%2F3+%29%5E3+=+s%5E3%2F27+ ALIGN=MIDDLE  ALT=\"+%28+s%2F3+%29%5E3+=+s%5E3%2F27+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is the new volume with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%2F3+ ALIGN=MIDDLE  ALT=\"+s%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > side length<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5E3+=+243+ ALIGN=MIDDLE  ALT=\"+s%5E3+=+243+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, I can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+s%2F3+%29%5E3+=+243%2F27+ ALIGN=MIDDLE  ALT=\"+%28+s%2F3+%29%5E3+=+243%2F27+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28s%2F3+%29%5E3+=9+ ALIGN=MIDDLE  ALT=\"+%28s%2F3+%29%5E3+=9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The new volume is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+ ALIGN=MIDDLE  ALT=\"+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ml3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );