SOLUTION: 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 thi

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Question 205760: 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
(A)21 (B)42 (C)63 (D)84 (E) None of these
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
each face has 4 corners that are part of 4 "vertex numbers"
so the number on each face is counted 4 times in the sum of vertex numbers

the sum of the faces is 21, so the vertex sum is 84