# Explain the relation between Liter, dm^3 and mL

Litres and dm3 are numerically identical, as are ml and cm3.

### Explanation

Both m3 and litres are units of volume. There are 1000 L in a cubic metre which is a very high volume.

$1 dm^{3}= (1 X 10^{-1} m)^{3}$

d≡deci that is 10-1

$1 dm^{3}= (1 X 10^{-1} m)^{3}= 10^{-3} m^{3}= 1 L$ $1 cm^{3}= (1 X 10^{-2} m)^{3}$ $1 cm^{3}= 10^{-6} . m^{3}$ $\frac{1}{1000} X \frac{1}{1000} m^{3}$

But $\frac{1}{1000} m^{3}\equiv 1 L$ $\frac{1}{1000} L \equiv 1 mL$