fl oz(US) to L Converter - Fluid Ounce US to Liter

Conversion derivation

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

1. 1

   Rewrite fl oz(US) in the base unit

   $$1\mathrm{floz}(\mathrm{US})=0.0000295735m3$$
2. 2

   Rewrite L in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{floz}(\mathrm{US})& =\frac{0.0000295735\cancel{m3}}{0.001\cancel{m3}}\times 1\mathrm{L}\\ & =\frac{0.0000295735}{0.001}\mathrm{L}\\ & =0.0295735\mathrm{L}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{L}& =\frac{0.001\cancel{m3}}{0.0000295735\cancel{m3}}\times 1\mathrm{floz}(\mathrm{US})\\ & =\frac{0.001}{0.0000295735}\mathrm{floz}(\mathrm{US})\\ & =33.8140565033\mathrm{floz}(\mathrm{US})\end{array}$$