Question

An auditorium has its length, breadth, and height equal to 18m. How much air does it contain? An average adult person requires approximately 0.3 cu.M air per hour. The owner of auditorium organizes a concert there. But he limits the duration of concert 3 hours and allows only 6480 tickets to be sold. Why has the owner taken this decision?

Answer 1

The volume of air in the auditorium = 5832 cubic meter

Explanation:

Length, breadth, and height of the auditorium = 18m

Therefore, the volume of air in the auditorium

`=18 * 18 * 18\\=5832 $ cubic meter`

An average adult person requires approximately 0.3 cu.M air per hour.

Therefore:

6480 adult person will require: 0.3 X 6480 = 1944 cu.M air per hour.

For three hours:

6480 adult person will require: = 1944 X 3 =5832 cubic meter of air

We notice that the volume of air in the room will be exhausted exactly after 3 hours when 6480 persons attend.

Therefore, the owner has taken this decision to avoid suffocation as an increase in the number of tickets or hours will cause such.