Question

Calculate the mass of air in an empty room with dimensions 4m
x 4m x 2m. The density of air is 1.2 kg/ m^3​

Answer 1

$\sf{\huge{\underline{\green{Given :-}}}}$

• An empty room with dimensions 4m x 4m x 2m.

• The density of air is 1.2 kg/ m³.

$\sf{\huge{\underline{\green{To\:Find :-}}}}$

• The mass of air .

$\sf{\huge{\underline{\green{Answer :-}}}}$

We have,

An empty room with dimensions 4m x 4m x 2m.

L = 4m

B = 4m

H = 2m

Dimensions of room = Volume of room = Volume of Cuboid

➝ L × B × H

➝ 4 × 4 × 2

➝ 16 × 2

➝ 32 cm³

• The volume of air in room = 32 cm³

• The density of air is 1.2 kg/ m³ .

The mass of air in room = Density of air in room × Volume of air in room

➝ M = D × V

➝ M = 32 × 1.2

➝ M = 32 × $\dfrac{12}{10}$

➝ M = $\dfrac{32 \times 12 }{10}$

➝ M = $\dfrac{384}{10}$

➝ M = 38.4 kg

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