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No, a cube is not aerodynamic. A cube has a flat face, so it will produce more drag. It will also take more energy to push forward because the flat face of the cube is trying to push the wind as you are pushing the cube.
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A cube has 8 vertices and 6 faces. Therefore a cube has 2 more vertices than faces.
A cube has 12 edges, a square pyramid has 8. So a cube.
A cube has 6 vertices and a square or rectangular based pyramid has 5 vertices so the cube has 1 more.