Question

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

Answer 1

Length of classroom ( l ) = 10 m

Width of class room ( b ) = 6.4 m

Height of classroom ( h ) = 5 m

Floor area given to each student = 1.6$m^2$

Let the total number of students be x.

Floor area of classroom = Total number of students X floor area occupied by each student

l × b = x × 1.6

10 × 6.4 = x × 1.6

$\Rightarrow x=\frac{6.4}{1.6}=40$

∴ Total number of students accommodated in the room is 40

Volume of air in the classroom = Volume of cuboidal shaped classroom = l × b × h

= 10 × 6.4 × 5 = 320 $m^3$

Now, 40 students got 320 $m^3$ of air

∴ 1 student would get air $\frac{320}{40}=8m^3$

Therefore, each student will get 8 $m^3$ of air.