Solution:We must find a shape with no vertices or flat faces.
As we can see, we're discussing faces here, so the shape should be three-dimensional. The most common examples of shapes with no vertices that come to mind are spheres and cylinders. However, because the cylinder has two circular bases known as flat faces, the cylinder cannot be answered.
As a result, we are only left with a sphere. Let us thoroughly examine the sphere. The diagram shows that there are no vertices (corners) or flat surfaces. As a result, the sphere is the required answer.
Hence, the correct option is 3.