A school auditorium is 40 m long, 30 m broad and 12 m high. If each student requires 1.2 m² of the floor area; find the maximum number of students that can be accommodated in this auditorium. Also, find the volume of air available in the auditorium, for each student.

Given:

Dimension of the auditorium = 40 m x 30 m x 12 m

Area of the floor = l x b

= 40 x 30 m²

= 1,200 m²

Each student requires 1.2 m² of floor area.

Thus, maximum number of students = $\dfrac{1,200}{1.2}$

= 1,000

Volume of auditorium = l x b x h

= 40 x 30 x 12 m³

= 14,400 m³

Air available per student = $\dfrac{14,400}{1000}$ = 14.4 m³

Hence, the maximum number of students that can be accommodated in the auditorium = 1,000 and the volume of air available per student = 14.4 m³.