triangle
A cone would fit the given description
A right cylindrical cone has a circle for a base and one vertex. a diagram is shown on unitmath.com
L shape
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 and one edge.
triangle
cone
A shape with one vertex, one edge, and two faces is called a cone. The vertex is the point where the edges meet, the edge is the line where the faces meet, and the faces are the flat surfaces of the shape. In the case of a cone, one face is the circular base and the other face is the curved surface.
How about a sphere as an example that fits the given description
A cone.
A cone would fit the given description
Conventionally, two faces, one edge and one vertex.
A right truncated cone.
It's a pentagonal pyramid.
A cone. It has 1 point, edge and 2 faces.
A right cylindrical cone has a circle for a base and one vertex. a diagram is shown on unitmath.com