The pressure (p), temperature(T), and density (ρ of dry air are related by the Ideal Gas Law: p = ρ R T, where R is the dry air gas constant (287 J / kg K). Suppose a sample of dry air is in a hollow cube with 10 cm sides. What is the mass of the air in the cube if its pressure and temperature are 850 mb and 10 Celsius, respectively? (Pay attention to units!! You will need to convert units to get them to cancel out with the units in the gas constant, otherwise your answer will be incorrect.) Hint: it may be helpful to convert the cube dimensions to the appropriate units before calculating the cube's volume.