At room temperature and pressure, air has a density of 0.00125 grams per cubic centimeter. What is the mass of the air in a room that is 3.3 m by 4 m by 4.2 m? Answer in units of kg.

Answer 1

Density = mass/volume

First find the volume of the room in cubic centimeters.

3.3 m x 100 cm/m = 330 cm

4 m x 100 cm/m = 400 cm

4.2 m x 100 cm/m = 420 cm

Volume of room = 330 cm x 400 cm x 420 cm = 5.544x10⁷ cm³

Density = mass/volume

mass = density x volume = 0.00125 g/cm³ x 5.544x10⁷ cm³ = 69,300 g x 1 kg/1000 g = 69.3 kg