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

Answer:

The air weight in a room is 49.69 kg.

Step-by-step 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,

$V=l\times b\times h$

$V=4.2\times 3.5\times 2.6$

$V=38.22$

The volume of room is 38.22 m³.

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

$1 m^3=\frac{13}{10}kg$

$1 m^3=1.3kg$

So the air weight in the room is,

$\text{Air weight}=1.3\times 38.22$

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

Therefore the air weight in a room is 49.69 kg.