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A classroom has its length, breadth and height as 10 m, 6.4 m, and 5m respectively. If each student be provided with $1.6 m 2$ of the floor area, then how much air would each student be getting (in cubic meters)?

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8 m 3

6.5 m 3

5 m 3

10 m 3

answer is A.

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Detailed Solution

Given that the length of the classroom is 10 m, breadth is 6.4 m and the height is 5 m.
It is well known that the volume of a cuboid is

l × b × h,

where l is the length, b is breadth, and h is the height of the cuboid.
As each student is given

1.6 m 2

of the floor area, therefore,

Number of students = area of the room area given to each student in the room = 10 × 6.4 1.6 = 40

We can calculate the air required by each student as,

Air required by each student = Volume of the room number of students m 3 = 10 × 6.4 × 5 40 m 3 = 8 m 3

Therefore, air required for each student is

8 m 3 .

Hence, option (1) is correct.

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