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Mathematics

The dimensions of a hall are 40 m x 25 m x 5 m. The number of persons which can be accommodated in the hall is (each person requires 5 m3 of air) :

  1. 1000

  2. 2000

  3. 5000

  4. 2500

Surface Area, Volume, Capacity

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Answer

Given:

The dimensions of a hall are 40 m x 25 m x 5 m.

As we know that volume of hall = length x breadth x height

= 40 x 25 x 5 m3

= 5000 m3

Air required by each person = 5 m3

Let a be the total number of persons.

Volume of the hall = number of persons x air required by each person

⇒ 5000 = a x 5

⇒ a = 50005\dfrac{5000}{5}

⇒ a = 1000

Hence, option 1 is the correct option.

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