There is no simply connected 3-dimensional shape that meets these requirements.
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A cuboid has 12 edges, 6 faces and 8 vertices
It is a cuboid that has 8 vertices, 12 edges and 6 faces
Dodecahedrons are a shape with 12 faces, 30 edges and 20 vertices.
A cube and a cuboid have 8 vertices, 6 faces and 12 edges
A cube.