document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1027858>Question 1027858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please, help me with this<BR>\n" );
document.write( "If each sides of a cube expands by r%. What is the approximate percentage change in its volume? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643144 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> So assume that the side was originally, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S ALIGN=MIDDLE  ALT=\"S\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Now it would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%2Br%2F100 ALIGN=MIDDLE  ALT=\"S%2Br%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The volume originally was <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B1%5D=S%5E3 ALIGN=MIDDLE  ALT=\"V%5B1%5D=S%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the new volume,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B2%5D=%28S%2Br%2F100%29%5E3 ALIGN=MIDDLE  ALT=\"V%5B2%5D=%28S%2Br%2F100%29%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%5B2%5D=S%5E3%2B%283%2F100%29S%5E2r%2B%283%2F10000%29Sr%5E2%2B%281%2F1000000%29r%5E3 ALIGN=MIDDLE  ALT=\"V%5B2%5D=S%5E3%2B%283%2F100%29S%5E2r%2B%283%2F10000%29Sr%5E2%2B%281%2F1000000%29r%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can approximate by chopping off the last two terms,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B2a%5D=S%5E3%2B%283%2F100%29S%5E2r ALIGN=MIDDLE  ALT=\"V%5B2a%5D=S%5E3%2B%283%2F100%29S%5E2r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then comparing,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B2a%5D%2FV%5B1%5D=%28S%5E3%2B%283%2F100%29S%5E2r%29%2FS%5E3 ALIGN=MIDDLE  ALT=\"V%5B2a%5D%2FV%5B1%5D=%28S%5E3%2B%283%2F100%29S%5E2r%29%2FS%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%5B2a%5D%2FV%5B1%5D=1%2B%283%2F100%29%28r%2FS%29 ALIGN=MIDDLE  ALT=\"V%5B2a%5D%2FV%5B1%5D=1%2B%283%2F100%29%28r%2FS%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by 100 to make it a percentage,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%5B2a%5D%2FV%5B1%5D=100%2B3%28r%2FS%29 ALIGN=MIDDLE  ALT=\"V%5B2a%5D%2FV%5B1%5D=100%2B3%28r%2FS%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 100 to find the percentage change,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PC=3%28r%2FS%29 ALIGN=MIDDLE  ALT=\"PC=3%28r%2FS%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );