cm³ to fl oz(US) Converter - Cubic Centimeter to Fluid Ounce US

Conversion derivation

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

1. 1

   Rewrite cm³ in the base unit

   $$1\mathrm{c}{\mathrm{m}}^3=0.000001{\mathrm{m}}^3$$
2. 2

   Rewrite fl oz(US) in the base unit

   $$1\mathrm{floz}(\mathrm{US})=0.0000295735{\mathrm{m}}^3$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{c}{\mathrm{m}}^3& =\frac{0.000001\cancel{{\mathrm{m}}^3}}{0.0000295735\cancel{{\mathrm{m}}^3}}\times 1\mathrm{floz}(\mathrm{US})\\ & =\frac{0.000001}{0.0000295735}\mathrm{floz}(\mathrm{US})\\ & =0.033814056503\mathrm{floz}(\mathrm{US})\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{floz}(\mathrm{US})& =\frac{0.0000295735\cancel{{\mathrm{m}}^3}}{0.000001\cancel{{\mathrm{m}}^3}}\times 1\mathrm{c}{\mathrm{m}}^3\\ & =\frac{0.0000295735}{0.000001}\mathrm{c}{\mathrm{m}}^3\\ & =29.5735\mathrm{c}{\mathrm{m}}^3\end{array}$$