Question

10m3 of air weigh 13 kg. Chapter Reference c How much does the air weigh in a room 4.2m long, 3.5m wide, and 2.6m high?

Answer 1

The air weight in a room is 49.69 kg.

Explanation:

It is given that the room is 4.2m long, 3.5m wide, and 2.6m high. It is also given that 10 m³ of air weigh 13 kg.

The formula to find the volume of cuboid is,

`V=l* b* h`

`V=4.2* 3.5* 2.6`

`V=38.22`

The volume of room is 38.22 m³.

Since it is given that, 10 m³ of air weigh 13 kg. So,

`1 m^3=(13)/(10)kg`

`1 m^3=1.3kg`

So the air weight in the room is,

`\text{Air weight}=1.3* 38.22`

`\text{Air weight}=49.686\approx 49.69`

Therefore the air weight in a room is 49.69 kg.