cup(US) to cm3 Converter - Cup US to Cubic Centimeter

Conversion derivation

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

1. 1

   Rewrite cup(US) in the base unit

   $$1\mathrm{cup}(\mathrm{US})=0.000236588m3$$
2. 2

   Rewrite cm3 in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{cup}(\mathrm{US})& =\frac{0.000236588\cancel{m3}}{0.000001\cancel{m3}}\times 1cm3\\ & =\frac{0.000236588}{0.000001}cm3\\ & =236.588cm3\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1cm3& =\frac{0.000001\cancel{m3}}{0.000236588\cancel{m3}}\times 1\mathrm{cup}(\mathrm{US})\\ & =\frac{0.000001}{0.000236588}\mathrm{cup}(\mathrm{US})\\ & =0.004226757063\mathrm{cup}(\mathrm{US})\end{array}$$