L a cm3 convertidor - Litro a Centímetro cúbico

Conversion derivation

Express both L and cm3 in the same base unit m3 (cubic meter), then cancel the shared base unit.

1. 1

   Rewrite L in the base unit

   $$1\mathrm{L}=0.001m3$$
2. 2

   Rewrite cm3 in the base unit

   $$1cm3=0.000001m3$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{L}& =\frac{0.001\cancel{m3}}{0.000001\cancel{m3}}\times 1cm3\\ & =\frac{0.001}{0.000001}cm3\\ & =1,000cm3\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1cm3& =\frac{0.000001\cancel{m3}}{0.001\cancel{m3}}\times 1\mathrm{L}\\ & =\frac{0.000001}{0.001}\mathrm{L}\\ & =0.001\mathrm{L}\end{array}$$