Question

Mass of Fe is 200g and Destiny is 40gkm³ find out it's volume? ​

Answer 1

Answer:

Analysis→

Here the conveys that the mass of Fe(Ferrous) given is 200g and its density is 400kgm³.And we've to find the volume. But here the mass given is in gtams(g), so firstly we've to convert it into kilograms(kg). And we know that 1kg=1000g.

$\mapsto\rm m=200g \\ \:\mapsto\rm m=\dfrac{200}{1000} \\ \:\:\:\:\:\:\mapsto\rm m=0.2kg\checkmark$

Given→

• Mass of Fe= 200g
• Density= 40kgm³

To Find→

The volume.

Answer→

$\large{\underline{\boxed{\leadsto{\rm{Density=\dfrac{Mass}{Volume}}}}}}$

$\implies\rm{ \rho=\dfrac{m}{v}}$

$\implies\rm{40kgm^3=\dfrac{0.2kg}{v}}$

$\implies\rm{v=\dfrac{0.2kg}{40kgm^3}}$

$\implies\rm{v=\dfrac{\cancel{0.2kg}}{\cancel{40kgm^3}}}$

$\implies\rm{v=0.005m^3}$

${\boxed{\boxed{\implies{\bold{v=0.005m^3\checkmark}}}}}$

☞ Hence the volume is $\rm{0.005m^3\:or\:5\times10^{-3}m^3}$ which is the required answer.

HOPE IT HELPS.