A cube
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A Cuboid has 8 Corners, 6 Faces/Sides, and 12 Edges.
5 faces 9 edges 6 corners
A tetrahedron, or triangle-based pyramid, has four corners, four faces and six edges.
6 faces, 12 edges and 8 vertices.
A cube or a cuboid would fit the given description of 12 edges and 6 faces.