The dimensions of a hall are 10 m x 7 m x 5 m. If the density of air is 1.11 kg m^-3, find the mass of air in the hall.

Density of air = 1.11 kg m^-3

Volume of hall = 10 m x 7 m x 5 m = 350 m³

Mass = ?

We know,

$\text{Density}= \dfrac{\text{Mass}}{\text{Volume}} \\[1em] \text{Mass} = \text{Density} \times \text{Volume} \\[1em] = 1.11 \times 350 \\[1em] = 388.5 \text{ kg}$

Hence, the mass of air in the hall = 388.5 kg.