Ventilation question about my room

Im setting up a new grow in a 12x12x12 room with a total cfm of 3283. This will be my biggest room yet and I cant afford to screw anything up lol . How big of a carbon filter/fan setup am i going to need to use to keep adequate air flow happening? Any info would be appreciated ^^

Bumb..

I found a big enough exhaust fan for my room but I'm still lacking the carbon filter does it still need to be the same cfm rating as my fan? What happens if my carbon filter is half the cfm of my exhaust fan what will that effect?

I made one myself for my room that is 6x6x10. Found the instructions for parts and how to do online. It was pretty easy. I'm far from a pro though

Thx I'll def keep checking online for more info as well ^^