Question

a sheet of glass has a density of 2.5 g/cm³. what is the density of the glass in kg/m³?

Explanation:

Step1: Recall conversion factors

1 kg = 1000 g and 1 m³=(100 cm)³ = 1000000 cm³.

Step2: Set up the conversion

The given density is $\frac{2.5\ g}{cm^{3}}$. Multiply by $\frac{1\ kg}{1000\ g}$ and $\frac{1000000\ cm^{3}}{1\ m^{3}}$.
\[

$$\begin{align*} \frac{2.5\ g}{cm^{3}}\times\frac{1\ kg}{1000\ g}\times\frac{1000000\ cm^{3}}{1\ m^{3}}&=\frac{2.5\times1000000\ kg}{1000\ m^{3}}\\ &=\frac{2500000\ kg}{1000\ m^{3}}\\ & = 2500\frac{kg}{m^{3}} \end{align*}$$

\]

Answer:

$2500\frac{kg}{m^{3}}$