A classroom is 10 m long, 6.4 m wide and 5 m high. If each student be given 1.6 m2 of the floor area,
A classroom is 10 m long, 6.4 m wide and 5 m high. If each student be given 1.6 m2 of the floor area, how many students can be accommodated in the room? How many cubic metres of air would each student get?
Length of the classroom = 10 m
Breadth of the classroom = 6.4 m
Height of the classroom = 5 m
Area of the floor $=$ length $\times$ breadth $=10 \times 6.4 \mathrm{~m}^{2}$
No. of students $=\frac{\text { area of the floor }}{\text { area given to one student on the floor }}$
$=\frac{10 \times 6.4}{1.6}$
$=\frac{640}{16}=40$ students
Now, volume of the classroom $=10 \times 6.4 \times 5 \mathrm{~m}^{3}$
$\therefore$ Air required by each student $=\frac{\text { volume of the room }}{\text { number of students }}$
$=\frac{10 \times 6.4 \times 5}{40} \mathrm{~m}^{3}$
$=8 \mathrm{~m}^{3}$