Final answer:
There are 56 different triangles that can be formed by connecting 3 vertices of a cube.
Step-by-step explanation:
A cube has 8 vertices. To form a triangle, we need to choose 3 vertices from the cube. The number of ways we can choose 3 vertices out of 8 is given by the combination formula: C(8, 3) = 8! / (3!(8 - 3)!) = 56.