Correct spelling, explanation: surface is a noun, an adjective, and a verb. It consists of two elements: sur- + face. You cannot skip any letter when spelling this word. It originates from the French surface, so it’s an exact borrowing. Always remember that. Suface is just a mistake, therefore the only correct version is surface.

Definition of surface:
1. noun, an outside part or layer of something
The painting’s surface is covered with fine cracks.
The surface of the wood was rough.
2. adjective, involving only the parts that are easy to see or notice
I’m really sick of surface friendships.
Despite the surface differences between the two candidates, they are very similar in most ways.
3. verb, to rise to the surface of water
The whale surfaced and then dove back down.
The submarine surfaced.

Collocations with surface:
Some most commonly used collocations include: frozen surface and inner surface.
The ball rolled onto the frozen surface of the pond.
I wonder what the inner surface of bones looks like.

Incorrect spelling, explanation: suface is just a mistake, but we don’t know exactly where it came from. We can just guess that this error sometimes occurs when we’re not careful enough with the spelling. If you’re hesitant about how to write it, look at the etymology. You’ll find out that the only right form is surface.