Answer:
[tex]\displaystyle 1 \frac{gr}{cm^3}=1,000\frac{kg}{m^3}[/tex]
Explanation:
Note: We are assuming the unit 'm' is 'm^3' to be compatible with the given unit.
Unit Conversions
Is the procedure followed to change the units of a certain magnitude to other units of the same magnitude. Example: centimeters to meters, hours to minutes, Kg to gr.
When dealing with composite units, each unit must be converted separately.
The density of some liquid is
[tex]\displaystyle 1 \frac{gr}{cm^3}[/tex]
We are required to convert to [tex]Kg/m^3[/tex], so we convert separately
We know that
[tex]\displaystyle 1 gr=\frac{1}{1000}Kg[/tex]
[tex]\displaystyle 1 cm^3=\frac{1}{1,000,000}m^3[/tex]
The conversion is
[tex]\displaystyle 1 \frac{gr}{cm^3}=\frac{\frac{1}{1000}Kg}{\frac{1}{1,000,000}m^3}[/tex]
[tex]\displaystyle 1 \frac{gr}{cm^3}=\frac{1,000,000\ kg}{1000\ m^3}=1,000\frac{kg}{m^3}[/tex]
Thus
[tex]\boxed{\displaystyle 1 \frac{gr}{cm^3}=1,000\frac{kg}{m^3}}[/tex]
