1. The problem asks for the number of vertices and faces of a cube. 2. A cube is a three-dimensional solid object bounded by six square faces, with three meeting at each vertex. 3. The formula for the number of vertices $V$, edges $E$, and faces $F$ of a cube is well-known: $V=8$, $E=12$, and $F=6$. 4. Explanation: Each corner of the cube is a vertex, and since a cube has 8 corners, it has 8 vertices. 5. Each face of the cube is a square, and there are 6 such faces. 6. Therefore, the cube has 8 vertices and 6 faces. Final answer: The cube has **8 vertices** and **6 faces**.