fl oz(US) to in³ Converter - Fluid Ounce US to Cubic Inch

Conversion derivation

Express both fl oz(US) and in³ in the same base unit m³ (cubic meter), then cancel the shared base unit.

1. 1

   Rewrite fl oz(US) in the base unit

   $$1\mathrm{floz}(\mathrm{US})=0.0000295735{\mathrm{m}}^3$$
2. 2

   Rewrite in³ in the base unit

   $$1\mathrm{i}{\mathrm{n}}^3=0.0000163871{\mathrm{m}}^3$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{floz}(\mathrm{US})& =\frac{0.0000295735\cancel{{\mathrm{m}}^3}}{0.0000163871\cancel{{\mathrm{m}}^3}}\times 1\mathrm{i}{\mathrm{n}}^3\\ & =\frac{0.0000295735}{0.0000163871}\mathrm{i}{\mathrm{n}}^3\\ & =1.80468173136\mathrm{i}{\mathrm{n}}^3\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{i}{\mathrm{n}}^3& =\frac{0.0000163871\cancel{{\mathrm{m}}^3}}{0.0000295735\cancel{{\mathrm{m}}^3}}\times 1\mathrm{floz}(\mathrm{US})\\ & =\frac{0.0000163871}{0.0000295735}\mathrm{floz}(\mathrm{US})\\ & =0.554114325325\mathrm{floz}(\mathrm{US})\end{array}$$