Question

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

Short answer

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

Step-by-step solution

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,

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

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