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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.
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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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