document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205760>Question 205760</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The faces of a cube are marked with the numbers 1,2,3,4,5,6. Each corner of the cube is assigned \" vertex number \" equal to the sum of all the numbers on the faces that meet at this corner. The sum of all the vertex numbers is\r<BR>\n" );
document.write( "\n" );
document.write( "(A)21   (B)42   (C)63   (D)84   (E) None of these </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #155389 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=155389\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> each face has 4 corners that are part of 4 \"vertex numbers\"<BR>\n" );
document.write( "so the number on each face is counted 4 times in the sum of vertex numbers\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the sum of the faces is 21, so the vertex sum is 84 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );