Given Data

1. Faces A and F are opposite.
2. Faces B and E are opposite.
3. Faces C and D are opposite.

Question

Can A, B, and C meet at one vertex?

Answer

Yes.

Solution

1. A vertex contains three faces, one from each opposite pair.
2. A, B, and C are selected from three different opposite pairs.
3. No pair among them is opposite, so they can meet at a vertex.