# The dimensions of a cinema hall are 100 m, 50 m, 18 m.

Question:

The dimensions of a cinema hall are $100 \mathrm{~m}, 50 \mathrm{~m}, 18 \mathrm{~m}$. How many persons can sit in the hall, if each person requires $150 \mathrm{~m}$ of air?

Solution:

Given that

Volume of cinema hall $=100 * 50 * 18 \mathrm{~m}^{3}$

Volume of air required by each person $=150 \mathrm{~m}^{3}$

Number of persons who sit in the hall $=\frac{\text { Volume of cinema hall }}{\text { Volume of air required by each person }}$

$=\frac{100 * 50 * 18}{150}=600[$ Since, $\mathrm{V}=\mathrm{l} \times \mathrm{b} \times \mathrm{h}]$

Therefore, number of persons who can sit in the hall = 600 members.