The air volume in the school corridor, 4 m wide and 2.7 m high, is 486 m2. Find the height of the corridor.

The volume of the school corridor is calculated by the formula:

V = a * b * c, – where V is the volume, a is the length, b is the width, and c is the height of the corridor.

From here we can derive the formula for finding the length of the corridor:

b = V: (a * c).

Substitute the values:

b = 486 m3: (4 m * 2.7 m).

1) 4 m * 2.7 m = 10.8 m2.

2) 486 m3: 10.8 m2 = 45 m.

Answer: the length of the school corridor is 45 m.