m3 in L Umrechner - Kubikmeter in Liter

Conversion derivation

Express both m3 and L in the same base unit m3 (cubic meter), then cancel the shared base unit.

1. 1

   Rewrite m3 in the base unit

   $$1m3=1m3$$
2. 2

   Rewrite L in the base unit

   $$1\mathrm{L}=0.001m3$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1m3& =\frac{1\cancel{m3}}{0.001\cancel{m3}}\times 1\mathrm{L}\\ & =\frac{1}{0.001}\mathrm{L}\\ & =1,000\mathrm{L}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{L}& =\frac{0.001\cancel{m3}}{1\cancel{m3}}\times 1m3\\ & =\frac{0.001}{1}m3\\ & =0.001m3\end{array}$$