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Mathematics

A class room is 10 m long, 6 m broad and 4 m high. How many students can it accommodate if one student needs 1.5 m2 of floor area? How many cubic metres of air will each student have?

Mensuration

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Answer

The given dimensions of class room are

Length (l) = 10 m

Breadth (b) = 6 m

Height (h) = 4 m

We know that,

Floor area of class room = l × b = 10 × 6 = 60 m2.

Given,

One student needs 1.5 m2 floor area.

So, the number of students = 601.5\dfrac{60}{1.5} = 40.

By formula,

Volume of class room = l × b × h

= 10 × 6 × 4

= 240 m3.

Cubic metres of air for each student =  Vol. of classroom  No. of students \dfrac{\text{ Vol. of classroom }}{\text{ No. of students }}

= 24040\dfrac{240}{40}

= 6 m3.

Hence, the classroom can accommodate 40 students and each student will have 6 m3 of air.

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