To convert a measurement from grams per cubic centimeter (g/cm³) to kilograms per cubic meter (kg/m³), we can follow these steps:
1. Understand the relationship between units:
- [tex]\( 1 \, \text{g/cm}^3 = 1000 \, \text{kg/m}^3 \)[/tex]
2. Given measurement:
- [tex]\( 3.4 \times 10^{-4} \, \text{g/cm}^3 \)[/tex]
3. Apply the conversion factor:
- Since [tex]\( 1 \, \text{g/cm}^3 = 1000 \, \text{kg/m}^3 \)[/tex], we need to multiply the given measurement by this conversion factor to convert it into kg/m³.
4. Calculate:
- [tex]\( 3.4 \times 10^{-4} \, \text{g/cm}^3 \times 1000 = 0.34 \, \text{kg/m}^3 \)[/tex]
Therefore, the converted measurement is:
[tex]\[
3.4 \times 10^{-4} \, \text{g/cm}^3 = 0.34 \, \text{kg/m}^3
\][/tex]
