SOLUTION: Each of the 12 edges of a cube is coloured either red or green. Every face of the cube has at least one red edge. What is the smallest number of red edges? (A) 2 (B) 3 (C) 4 (D)

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Question 287587: Each of the 12 edges of a cube is coloured either red or green. Every face of the cube has at least one red edge. What is the smallest number of red edges?
(A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
an edge is the intersection of a pair of faces

a cube has 6 faces (3 pairs)

so the smallest number of red edges is 3