Question

How do we convert 1 g/cm³ to kg/m³?

Answer 1

Step 1: Given data

Given mass = 1 g/cm³.

Step 2: Density

1. Density is defined by the ratio of mass and volume, $\rho =\frac{M}{V}$, where M and V are the mass and volume of the body.
2. g/cm³ and kg/m³ are the units of density.
3. 1000 cm³ = 1 m³ and 1 kg = 1000 g.

Step 3: Calculation

$$\begin{gathered} 1\frac{g}{c{m}^3}=\frac{1000g}{1000c{m}^3}. \\ or1\frac{g}{c{m}^3}=1\frac{kg}{m^3}. \end{gathered}$$

As 1000 cm³ = 1 m³ and 1 kg = 1000 g.

So, 1 g/cm³ = 1kg/m³.