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There are many possible answers:

A cylinder

A cone sliced by two planes perperndicular to its axis

A toroid (doughnut) sliced by a plane vertical to its axis.

A sphere sliced by two planes

An ellipsoid sliced by two planes

A paraboloid sliced by two planes

etc.

Q: What shape has 2 edges and no vertices?

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That's an impossible shape. No shape can have only 2 edges.

You can't have a 3-d shape with only 2 faces. A triangular prism has 9 edges and 6 vertices, but it has 5 faces.

A very strange shape. The Euler characteristic for polyhedra requires that Vertices-Edges+Faces=2. That condition is not met here.

# of faces + # of edges + # of vertecies + 2

a cube

Related questions

That's an impossible shape. No shape can have only 2 edges.

There is no such shape as a regtangiel. If you meant a rectangle, that is a 2-dimensional shape with 4 vertices, 4 edges and one face.

There can be no such shape.

You can't have a 3-d shape with only 2 faces. A triangular prism has 9 edges and 6 vertices, but it has 5 faces.

A very strange shape. The Euler characteristic for polyhedra requires that Vertices-Edges+Faces=2. That condition is not met here.

# of faces + # of edges + # of vertecies + 2

A cylinder

a cylinder l

They are called a Vertices and it is where 2 edges meet.

a cone

cylinder

It is a cylinder