Weight of air

What is the weight of air in the living room measuring width 10 m length 3 m and height 3.3 m? Air density is ρ = 1.2 kg/m³.

Correct answer:

m =  118.8 kg

Step-by-step explanation:

$$\begin{gathered} a=10\text{ m } \\ b=3\text{ m } \\ c=3.3\text{ m } \\ \rho =1.2{\text{kg/m}}^3 \\ V=a\cdot b\cdot c=10\cdot 3\cdot 3.3=99{\text{m}}^3 \\ m=\rho \cdot V=1.2\cdot 99={\displaystyle \frac{594}{5}}={\displaystyle \frac{594}{5}}\text{ kg}=118.8\text{ kg} \end{gathered}$$

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