There is no solid that has those characteristics. To have an edge it must have another surface.
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Surface, edge, and vertex are the different parts of solid figures.
it is a three dimensional cone , the circle is the edge of the figure and the curved side is the body of the cone, the vertex is the point of the cone
circle
A cone
one face one vertex and two circle edges * * * * * What kind of cone is that? It has 1 edge, 2 faces (one curved and one plane), and 1 vertex.