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?

The volume of air in the auditorium = 5832 cubic meter

Step-by-step explanation:

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

Therefore, the volume of air in the auditorium

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.