A building of a few stories?

MustAsk HiIt is correct to say "a five-story building" , however, is it correct to say "a building of several/a few stories?"ex: A man fell off a building of a few stories.Thanks!

What you have done is permitted (but odd), but you usually only see the "of" form when you want to insert a qualifying word: "The town had only a few buildings of more than two stori

But what if i don't know the number of floors the building has and I'm forced to mention that the building had at least several of them, how do I express myself?

He jumped off a tall building or a multiple-story building.

Thanks, multiple-story building is what I've been looking for. Silly me, couldn't figure it out myself.