4 - University Physics with Modern Physics

Question

The density of gold is 19.3 g/cm³ . What is this value in kilograms per cubic meter?

 

Step-by-Step Solution

Answer

The density of gold in kg/m³ is 19300 kg/m³.

 

Density and its unit

Density is the ratio of the mass of the body to its volume. Hence, if we take mass as kg and volume as m³, then the SI  unit of density becomes kg/m³.

Given data:

The density of gold is ρ=19.3 g/cm³

Determination of density in SI unit

The density in kg/m³ can be calculated as,

$$\begin{gathered} \rho =19.3 g/c{m}^3\times \frac{1 Kg}{1000g}\times {\left(\frac{100 cm}{1 m}\right)}^3 \\ \rho = 19300 kg/m^3 \end{gathered}$$ 

 

Hence from the above calculation, we can say 19300 kg/m³ is the value of density in kilograms per cubic meter.