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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.
Solution
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`
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