document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1013080>Question 1013080</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cube can be painted completely using 7 litres of paint. Now this cube is cut into 125 identical cubes. How many litres of paint is needed to paint all these small cubes completely with a different colour?<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 #629390 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=629390\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I like this problem...may ask my own students this one...<BR>\n" );
document.write( "Anyway, here's how to look at it...<BR>\n" );
document.write( "If you chop a cube up into 125 identical little cubes, there are 5 on each side of the original cube.  125 little cubes have six faces each, or 750 total faces.<BR>\n" );
document.write( "Let's say the original cube was painted blue.  How many faces were painted blue?  How many weren't painted at all?<BR>\n" );
document.write( "Well, there are 8 corners, each with 3 painted faces = 24 faces<BR>\n" );
document.write( "There are 12 edges, each with 3 cubes with 2 painted faces = 72 faces<BR>\n" );
document.write( "There are 9 cubes on each side of the original cube with 1 painted face = 54 faces<BR>\n" );
document.write( "So a total of 150 faces were painted.  That means 600 have yet to be painted red.<BR>\n" );
document.write( "If it took 7 liters to paint 150 faces, it takes 28 liters to paint the remaining 600 faces.<BR>\n" );
document.write( "Now if you needed to paint all the faces of all the cubes over again, then the answer is 35 liters. </SPAN>\n" );
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