Question

Q5] The density of a solid is
10g/cm3 and its mass is 5kg find
its volume​

Answer 1

$\bf \underline{Given}$

• Density of solid = 10g/cm³
• Mass of solid = 5kg

$\\ \bf \underline{To \: Find}$

• Volume of solid = ?

$\\ \bf \underline{Solution}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \red{\boxed{ \sf Volume = \dfrac{Mass}{Density} }}}$

Given: Density = 10g/cm³

1g/cm³ = 1000kg/m³

10g/cm³ = 1000×10 kg/m³

∴ Density =10000kg/m³ ✔

Density is a measure of mass per volume. The average density of an object equals its total mass divided by its total volume.

$\sf \therefore \: Volume \: is \: equal \: to \: reciprocal \: of \: mass \: and \: density \\ \sf Or, Volume \: = Mass \: \div \: Volume \\ \\ \tt\implies volume = \dfrac{5}{10000} m {}^{3} \\ \tt \implies \: volume = \frac{1}{2000} m {}^{3} \\ \tt \implies \: \small\blue\boxed{ \boxed{volume = 0.0005m {}^{3} }}$

$\bf \therefore \red{\underline{volume \: of \: solid \: is \: 0.0005m {}^{3} }}.$