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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 required $150 m 3$ of air?

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700

300

600

100

answer is C.

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Detailed Solution

It is given the dimensions of a cinema hall are 100 m, 50 m and 18 m.
Consider the number of persons be n.
Now calculate the volume of the hall,

V = l × b × h

Substituting the values,

V = 100 × 50 × 18 ⇒ V = 90000 m 3

Now calculate the number of persons as each person require

150 m 3

of air,

n = 90000150

⇒ n = 600

So, the number of persons that can sit in the hall is 600.
Hence option (3) is correct.

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