The general shape with the characteristics that you require is a parallelepiped. Special cases of this shape are the rectangular prism. An even more special case is the cube.
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A quadrangular prismoid.
This is the most general form of a cube in the same way that, in 2-dimensions, a quadrilateral is the most general form of a square.
It is a cuboid that has 8 vertices, 12 edges and 6 faces
A cuboid has 12 edges, 6 faces and 8 vertices
It is a cuboid that has 8 vertices, 12 edges and 6 faces
A cuboid has 6 faces, 12 edges and 8 vertices
Dodecahedrons are a shape with 12 faces, 30 edges and 20 vertices.