a circle?
A Sphere only has one face and no verticies.
It sounds like the shape of a sphere
sphere
Sphere, torus, moebius strip
sphere
It is a round 3d shape and it also has only one face. It is the shape of the earth
A face value in maths is the out-side of the shape, as to say the face of a shape. The face value is the sides of a shape.
It is a plane shape and so has only one face.
-- hemisphere -- cone -- semifootball
Your question is inconsistent on its face. You asked "What shape has zero faces . . . . . and has only one face." I'd say that nothing could ever meet both of those requirements. They are ... how you say ... 'mutually exclusive'.
To determine your face shape look up the general guidelines for each different face shape that there is. Then look in the mirror and compare your face shape.
There are many shapes that have one and only one rectangular face, but an example of one would be a rectangular pyramid.