document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=860001>Question 860001</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of cube is increasing at 20.0 cm^3/min. At the instant when its volume is 729 cm^3, what is the rate of change of its edge? Round the answer to 3 decimal places.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #518106 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=518106\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The volume of cube is increasing at 20.0 cm^3/min. At the instant when its volume is 729 cm^3, what is the rate of change of its edge? Round the answer to 3 decimal places.<BR>\n" );
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document.write( "V = s^3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+V%5E%281%2F3%29%29 ALIGN=MIDDLE  ALT=\"s+=+V%5E%281%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "ds/dt = (1/3)*V^(-2/3)*dV/dt<BR>\n" );
document.write( "ds/dt = (1/3)*729^(-2/3)*20<BR>\n" );
document.write( "ds/dt = (20/3)/81 = 20/243<BR>\n" );
document.write( "ds/dt =~ 0.0823 cm/min </SPAN>\n" );
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