Get a ball. Draw any closed shape on it. The part inside the curve that you drew is one curved face and that is contained by the surface of the ball which is the other curved face.
A sphere has just one curved face.
2 plane faces, 1 curved face
When you say "What face" did you mean "What solid" has one curved face and two other flat faces? A solid that can be imagined is a melon wedge, cut from a sphere. Two flat faces come from the two cuts with a knife, and the one curved face that formed the rind. If you did not mean "What solid" then that makes your question unclear. I cannot imagine a face made from three other faces. Perhaps a face made from three other lines with one of them curved? It would seem you used a word wrong somewhere in your original question.
Yes.
A cone. It has a circle for the base, and a curved face tapering to a point.
A shape with 1 vertex, 1 edge, 1 flat face, and 1 curved face is a cone. The vertex is the tip of the cone, the edge is the circular base where the flat face meets the curved surface, and the flat face is the circular base itself. The curved face extends from the base to the vertex.
There is only 1 curved face!
A cylinder has two faces that are both curved.
0 Curved faces in cube
flat
A pretty flower
A hemisphere