cm³ to in³ Converter - Cubic Centimeter to Cubic Inch

Conversion derivation

Express both cm³ and in³ 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 in³ in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{c}{\mathrm{m}}^3& =\frac{0.000001\cancel{{\mathrm{m}}^3}}{0.0000163871\cancel{{\mathrm{m}}^3}}\times 1\mathrm{i}{\mathrm{n}}^3\\ & =\frac{0.000001}{0.0000163871}\mathrm{i}{\mathrm{n}}^3\\ & =0.061023610035\mathrm{i}{\mathrm{n}}^3\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{i}{\mathrm{n}}^3& =\frac{0.0000163871\cancel{{\mathrm{m}}^3}}{0.000001\cancel{{\mathrm{m}}^3}}\times 1\mathrm{c}{\mathrm{m}}^3\\ & =\frac{0.0000163871}{0.000001}\mathrm{c}{\mathrm{m}}^3\\ & =16.3871\mathrm{c}{\mathrm{m}}^3\end{array}$$