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How many people can be accommodated in a hall of length 16m, breadth $12.5$ m and height $4.5$ m. Assuming that $3.6 m 3$ Is air required for each person?

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350

250

400

450

answer is B.

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Detailed Solution

The given dimensions of the hall are length 16m, breadth 12.5m and height 4.5m.
Now, we know that the hall has the shape of a cuboid.
So, the total volume of the hall

= length × breadth × height

Total volume of the hall

= 16 × 12.5 × 4.5 = 900 m 3

Volume of air for each person is given as

3.6 m 3

.
Total number of person that can be accommodated in the hall

= total volume of the hall volume of air for each person

Substituting the values in the formula, we get
Total number of person that can be accommodated in the hall

= 900 3.6 = 250

Hence, 250 persons can be accommodated in a hall of length 16m, breadth 12.5m and height 4.5m.
So, option 2 is correct.

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