A class room is 12.5 m long, 6.4 m broad and 5 m high. How many students can it accommodate, if each student needs 1.6 m² of floor area ? How many cubic metres of air would each student get?

Given,

Room dimensions :

Length = 12.5 m

Breadth = 6.4 m

Height = 5 m

Students per floor area = 1.6 m²

Calculating the floor area,

Floor area = l × b = 12.5 × 6.4 = 80 m².

Number of students = $\dfrac{\text{Total floor area}}{\text{Area per student}}$

= $\dfrac{80}{1.6}$

= 50.

Calculating the Volume of the room,

Volume = l × b × h

= 12.5 × 6.4 × 5

= 400 m³.

Air per student = $\dfrac{\text{Total volume}}{\text{Number of students}}$

= $\dfrac{400}{50}$

= 8 m³.

Hence, number of students = 50 and air per student = 8 m³.