Erwin, the reason it is warmer in your room is because all that heat is being moved out of the case. As long as the warm air is able to get out of the room(meaning you have good ventilation in the room) then the air flowing into the case should be cool. As long as the room is well ventilated then the warm air you feel in the room shouldn't become a problem because heat rises, so the cooler air near the floor will be taken in through the intake fan(s) of the case. Unless you have the case sitting on a desktop or something, which I wouldn't recommend for air cooling.