surface vs face

surface and face both are nouns.

Word	Noun	Adjective	Verb	Adverb
surface	Yes	Yes	Yes	No
face	Yes	No	Yes	No

As nouns, face is a hyponym of surface; that is, face is a word with a more specific, narrower meaning than surface:

surface: the outer boundary of an artifact or a material layer constituting or resembling such a boundary
face: the striking or working surface of an implement

As nouns, face is a hyponym of surface; that is, face is a word with a more specific, narrower meaning than surface:

surface: the extended two-dimensional outer boundary of a three-dimensional object
face: a surface forming part of the outside of an object

surface (noun)	face (noun)
the outer boundary of an artifact or a material layer constituting or resembling such a boundary	a vertical surface of a building or cliff
a device that provides reactive force when in motion relative to the surrounding air; can lift or control a plane in flight	the side upon which the use of a thing depends (usually the most prominent surface of an object)
a superficial aspect as opposed to the real nature of something	the striking or working surface of an implement
information that has become public	the general outward appearance of something
the extended two-dimensional outer boundary of a three-dimensional object	status in the eyes of others
the outermost level of the land or sea	impudent aggressiveness
	the feelings expressed on a person's face
	the front of the human head from the forehead to the chin and ear to ear
	the part of an animal corresponding to the human face
	a specific size and style of type within a type family
	a contorted facial expression
	a surface forming part of the outside of an object
	a part of a person that is used to refer to a person

surface (adjective)	face (adjective)
on the surface

surface (verb)	face (verb)
appear or become visible; make a showing	deal with (something unpleasant) head on
put a coat on; cover the surface of; furnish with a surface	present somebody with something, usually to accuse or criticize
come to the surface	oppose, as in hostility or a competition
	line the edge (of a garment) with a different material
	cover the front or surface of
	turn so as to face; turn the face in a certain direction
	turn so as to expose the face
	be oriented in a certain direction, often with respect to another reference point; be opposite to
	be opposite