document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026045>Question 1026045</A>: <I><SPAN STYLE=\"word-break: break-all;\"> all areas of a cube increase by a factor of 3/2. how many times greater is the surface area. explain. how many times greater is the volume? explain </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641398 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=641398\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> all areas of a cube increase by a factor of 3/2. how many times greater is the surface area.<BR>\n" );
document.write( "It's 1.5 times the area (given).<BR>\n" );
document.write( "That's 0.5 times greater, or 50% greater.<BR>\n" );
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document.write( "how many times greater is the volume?<BR>\n" );
document.write( "Area is a function of the square of the edge length.<BR>\n" );
document.write( "(3/2)x area --> sqrt(3/2) edge length.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Volume is a function of the cube of the edge length.<BR>\n" );
document.write( "--> Volume is increased by a factor of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F2%29%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"%283%2F2%29%5E%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= Vol is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%286%29%2F4 ALIGN=MIDDLE  ALT=\"3sqrt%286%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > times the original volume.<BR>\n" );
document.write( "--> an increase of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283sqrt%286%29+-+4%29%2F4 ALIGN=MIDDLE  ALT=\"%283sqrt%286%29+-+4%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "PS  x times greater = (x+1) times as great.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "eg<BR>\n" );
document.write( "Vol is 4x greater --> Vol + 4*Vol = 5*Vol </SPAN>\n" );
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