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A cone would fit the given description
The shape that is commonly known as a cone has two faces, one vertex and one edge. Mathematically, however, the cone has infinite height and so has one [curved] face and one vertex.
A cone has one vertex, one edge, and one base.
It has 1 edge, 2 faces (one curved and one plane), and 1 vertex.It has 1 edge, 2 faces (one curved and one plane), and 1 vertex.It has 1 edge, 2 faces (one curved and one plane), and 1 vertex.It has 1 edge, 2 faces (one curved and one plane), and 1 vertex.
triangle