I believe that the sun will rise tomorrow. It's an entirely justified belief, though the event is not actual. It's not "blind," which is a figure of speech that does refer to having no evidence, hence being unable to justify belief--but then, as I said, the word "belief" is often abused.
Those are two contexts of "faith" though.
Your (indeed, justified) belief that the sun will appear to rise tomorrow is inductive, which you have no reason to be skeptical of without counterexamples.
That's entirely different from belief in the ontological existence of something. So, I get what you're saying but it's equivocation; it's not comparable.
There are three contexts of faith I can think of:
1) Reasonable induction ("The sun will most likely appear to rise tomorrow")
2) Trust in friends, the future, or even strangers -- which actually is just another example of induction, so perhaps there are only two contexts of faith?
3) Ontological beliefs without justification
(3) is the pertinant one when it comes to theism and the box.