Question

Calculate the mass of the air in room 4.5m long 3.5m wide and 2.5m high the density of air 1.2kg/m^3​

Answer 1

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

$\large{\boxed{\sf Mass(m)=47.16kg}}$

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

★ Given :-

Lenght (l) =4.5cm

breadth (b) = 3.5cm

Height (h) = 2.5 cm

Density $\sf{\rho = 1.2kg/{m}^{3}}$

Mass (M) = ?

$\large{\boxed{\sf Volume(V)=l×b×h}}$

$\large\implies{\sf 4.5×3.5×2.5 }$

$\large\implies{\sf 39.3{m}^{3}}$

We know that

$\large{\boxed{\sf \rho={\frac{Mass}{Volume}}}}$

$\large{\sf M = 1.2×39.3}$

$\large\red{\boxed{\sf Mass(M)=47.16kg}}$

Answer 2

$\huge{\boxed{\boxed{\mathcal{\red{Answer:-}}}}}$

$\huge\underline\blue{\mathcal{Given:-}}$

➡length=$\small\ 4.5cm$

➡Breadth= $\small\ 3.5cm$

➡Height= $\small\ 2.5cm$

➡Density= $\small\ 2kg/m^3$

$\huge\underline\blue{\mathcal{To \: find:-}}$

➡Mass = $\small\ ?$

$\huge\underline\blue{\mathcal{Solution:-}}$

As we all know that ;

$\small\orange{\boxed{\sf Volume = l \times\ b \times\ h }}$

So;

put the given values

$\implies\ 4.5 \times\ 3.5 \times\ 2.5 \\ \\ \implies\ 39.3m^3$

Now,

$\implies\ Density= \frac {Mass}{Volume}$

So,

$\ Mass = Density \times\ Volume \\ \\ \implies\ 1.2 \times\ 39.3 \\ \\ \implies\ 47.16 kg$

$\huge{\boxed{\sf Density= 47.16kg }}$