cup(US) to in³ Converter - Cup US to Cubic Inch

Conversion derivation

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

1. 1

   Rewrite cup(US) in the base unit

   $$1\mathrm{cup}(\mathrm{US})=0.000236588{\mathrm{m}}^3$$
2. 2

   Rewrite in³ in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{cup}(\mathrm{US})& =\frac{0.000236588\cancel{{\mathrm{m}}^3}}{0.0000163871\cancel{{\mathrm{m}}^3}}\times 1\mathrm{i}{\mathrm{n}}^3\\ & =\frac{0.000236588}{0.0000163871}\mathrm{i}{\mathrm{n}}^3\\ & =14.4374538509\mathrm{i}{\mathrm{n}}^3\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{i}{\mathrm{n}}^3& =\frac{0.0000163871\cancel{{\mathrm{m}}^3}}{0.000236588\cancel{{\mathrm{m}}^3}}\times 1\mathrm{cup}(\mathrm{US})\\ & =\frac{0.0000163871}{0.000236588}\mathrm{cup}(\mathrm{US})\\ & =0.069264290666\mathrm{cup}(\mathrm{US})\end{array}$$