MathematicsHow many persons can be accommodated in a dining hall of 20 m × 16 m × 4.5 m dimensions assuming that each person requires 5 cubic metres of air?

How many persons can be accommodated in a dining hall of 20 m × 16 m × 4.5 m dimensions assuming that each person requires 5 cubic metres of air?


  1. A
    196
  2. B
    288
  3. C
    312
  4. D
    442 

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    Solution:

    The volume of the hall is l×b×h   , where l is length, b is breadth and h is height.
    The length of the hall is 20 m.
    The breadth of the hall is 16 m.
    The height of the hall is 4.5 m.
    The volume of the hall will be l×b×h= 20×16×4.5 m 3  
    The volume of air needed per person is 5 m 3   .
    The number of persons that can be accommodated in the hall will be:
    Volumeofthehall Volumeofairneededperperson = 20×16×4.5 5 =288  
    Thus, 288 people can be accommodated in the hall.
    Therefore, the correct option is 2.
     
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