Question

A classroom is $10m$ long, $6.4m$ wide and $5m$ high. If each student is given $1.6m^2$ of the floor area, how many students can be accommodated in the room? How many cubic meters of air each student will get?

Answer 1

The dimensions of hall are
Length $=10m$
Breadth $6.4m$
Height $=5m$

It is given that floor area for each student $=1.6m^2$

So the number of students$=\frac{areaofroom}{floorareaforeachstudent}$

By substituting the values

Number of students $=\frac{(10\times 6.4)}{1.6}$

So we get

Number of students $=40$

So the air required by each student $=\frac{Volumeofroom}{numberofstudents}$

We know that

Volume of room $=1\times b\times h$

By substituting the values

Volume of room $=10\times 6.4\times 5=320m^3$

So we get

Air required by each student $=\frac{320}{40}=8m^3$

Therefore, the number of students that can be accommodated in the room is $40$ and the required by each student is $8m^3$.