Question

how do we convert 1 g/cm3 to kg/m3

Answer 1

Given,
Density (in g/cm3)= 1
Density in kg/m3 =>
= (1÷1000)kg/1÷(100^3)m3
= 1*1000000/1*1000
=1000 kg/m3

HOPE THIS HELPS YOU...

Answer 2

Unit Conversion:

$\bold{\frac{1 g m}{c m^{3}}=\frac{1000 k g}{m^{3}}}$

Explanation:

$\frac{1 g m}{c m^{3}}=\frac{10^{-3} k g}{\left(10^{-2} m\right)^{3}}$

$\frac{1 g m}{c m^{3}}=\frac{10^{-3} k g}{10^{-6} m^{3}}$

$\frac{1 g m}{c m^{3}}=\frac{10^{3} k g}{m^{3}}$

$\frac{1 g m}{c m^{3}}=\frac{1000 k g}{m^{3}}$

$kg/m^3$ is the SI unit of density.

To convert $1 \ gm/cm^3$ to $kg/m^3$, first we have to convert both gram and centimeter into kilogram and meter. Thousand grams is one kilogram and hundred centimeters is equal to one meter. The denominator is multiplied three times and we get $1000 \ kg/m^3$ as the final answer which is equal to $1 \ gm/cm^3$.

Density can be derived by dividing mass by volume, where mass is measured in the unit kilograms and volume is usually measured in the unit cubic meters.

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