A cube has eight points.
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Individual points on one side of the cube are coplanar. Points on one side might not nessasarily be coplanar with points on another side. The corners of a cube are exactly coplanar to three planes, but not all planes of the cube. In fact, no point on the cube is coplanar to all other points on the cube.
A cube has six sides
a cube has six faces
There are 7 vertices on a cube
Do you mean "how many faces are on the shape cube?" If you did, then the answer is 6.