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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Updated on: 10-Oct-2022

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