Any sort of prism.
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The shape would be impossible. The faces and vertices have to add up to two more than the edges.
A dodecahedron is a 3-dimensional shape with 12 (dodeca-) polygonal faces. There are more than 6 million different types of convex dodecahedra. For example, a hendecagon based (11-sided polygon) pyramid, which has 12 vertices;a decagon based prism, which has 20 vertices;a hexagon based dipyramid which has 8 vertices.Then there is the regular Platonic solid, made out of 12 regular pentagonal faces. This has 20 vertices.
A polyhedron is a solid shape with four or more polygonal faces. A hexahedron is a solid shape with six polygonal faces and so is a particular type of polyhedron.
A cube has 6 faces, 8 vertices, and 12 edges.A cube is a solid with 4 faces on the sides, one on the top and bottom, so 6 all together. There is a famous formula from Euler that tells us how the edges, vertices and faces all relate:Euler tells us the F+V-E = 2 where F is number of faces, V the number of vertices and E the number of edges.For the cube we have 6 faces, 8 vertices and 12 edges.6 + 8 - 12 = 2Remember,faces are the flat sides.Edges are the lines where two of the faces meet.Vertices are the corners where three or more of the faces meet.
Any 2-dimensional shape has a vertex where two sides meet.Any 3-dimensional shape has a vertex where three or more faces meet.