Properties of air: A rectangular room is 5 meters long, 4 meters wide, and has a 3 meter high ceiling. (a) What is the volume of the room? (b) How much does the air in the room weigh, in kilograms? (Hint: you may need to look up some numbers on the Internet for this part, which is fine.) (c) What is the area of the ceiling? (d) What is the total force on the ceiling (in newtons) from the air pressure in the room? (e) About how much is this in tons (or metric tonnes)? (f) In what direction is this force pushing