The dimensions of a cinema hall are $100\ m, 50\ m$ and $18\ m$. How many persons can sit in the hall, if each person requires $150\ m^3$ of air?
Given:
The dimensions of a cinema hall are $100\ m, 50\ m$ and $18\ m$.
To do:
We have to find the number of persons that can sit in the hall if each person requires $150\ m^3$ of air.
Solution:
The length of the cinema hall $(l) = 100\ m$
Breadth of the cinemal hall $(b) = 50\ m$
Height of the hall $(h) = 18\ m$
Therefore,
The volume of air in the hall $= lbh$
$= 100 \times 50 \times 18$
$= 90000\ m^3$
Air required for one person $= 150\ m^3$
This implies,
Number of persons that can sit in the hall $= \frac{90000}{150}$
$= 600$
Hence, 600 people can sit in the hall.
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