Question

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. 

Answer 1

Given dimensions of the auditorium are: 40 m x 30 m x 12 m

The area of the floor = 40 x 30

Also given that each student requires 1.2 m² of the floor area. 

Thus, Maximum number of students = ` (40 xx 30 )/(1.2 )= 1000`

Volume of the auditorium
= 40 x 30 x 12 m³ 
= Volume of air available forr 1000 students

Therefore, Air available for each students
=`( 40 xx 30 xx12 )/( 1000 )"m"^3 = 14.4 "m"^3`