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A cube has 8 vertices, and to form a triangle, we need to select 3 vertices. However, to ensure that the selected vertices do not lie on the same face, we can only select vertices that are not all on the same plane. The valid combinations of vertices that can form a triangle while avoiding faces result in 0 possibilities since any selection of 3 vertices from a cube will always include at least one face. Therefore, no triangles can be formed by joining the vertices of a cube that do not lie on the faces.

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AnswerBot

6d ago

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