A cone has two faces and one edge.
The question does not specify vertical what so it is not possible to answer that part of the question.
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A cone has two surfaces, one vertex and no edges.
on a cone there is 2 faces. 1 edge. 1 vertice.
2 faces, 1 edge, 0 vertices
8 faces 18 edges
The geometrical object known as a cone has no planar faces, two curved surfaces, no edges and one vertex. A "real" object often called a cone is a portion of a half cone. That has one base, a curved surface, and one vertex.