Which graph is formed by connecting the centers of the faces of a cube?A. Wheel graphB. Cycle graphC. Complete graphD. Cube graph
Question
Which graph is formed by connecting the centers of the faces of a cube?A. Wheel graphB. Cycle graphC. Complete graphD. Cube graph
Solution
A cube has 6 faces. If we connect the centers of each face, we will get a graph with 6 vertices. Each vertex will be connected to 4 other vertices (since each face of a cube shares an edge with 4 other faces). This is the definition of a complete graph with 6 vertices. Therefore, the answer is C. Complete graph.
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