Air

The room is 35.6 m long, 19.6 dm wide, and 591 cm high. How many people can simultaneously be in this room if, for hygiene reasons, is calculated 5000 dm³ of air per person?

Correct answer:

n =  82

Step-by-step explanation:

$$\begin{gathered} a=35.6\text{m} \\ b=19.6\text{dm}\to \text{m}=19.6:10\text{m}=1.96\text{m} \\ c=591\text{cm}\to \text{m}=591:100\text{m}=5.91\text{m} \\ {V}_1=a\cdot b\cdot c=35.6\cdot 1.96\cdot 5.91\doteq 412.3762{\text{m}}^3 \\ {V}_2=5000{\text{dm}}^3\to {\text{m}}^3=5000:1000{\text{m}}^3=5{\text{m}}^3 \\ n=\lfloor V_1/V_2\rfloor =\lfloor 412.3762/5\rfloor =82 \end{gathered}$$

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