L to in³ Converter - Liter to Cubic Inch

Conversion derivation

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

1. 1

   Rewrite L in the base unit

   $$1\mathrm{L}=0.001{\mathrm{m}}^3$$
2. 2

   Rewrite in³ in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{L}& =\frac{0.001\cancel{{\mathrm{m}}^3}}{0.0000163871\cancel{{\mathrm{m}}^3}}\times 1\mathrm{i}{\mathrm{n}}^3\\ & =\frac{0.001}{0.0000163871}\mathrm{i}{\mathrm{n}}^3\\ & =61.0236100347\mathrm{i}{\mathrm{n}}^3\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{i}{\mathrm{n}}^3& =\frac{0.0000163871\cancel{{\mathrm{m}}^3}}{0.001\cancel{{\mathrm{m}}^3}}\times 1\mathrm{L}\\ & =\frac{0.0000163871}{0.001}\mathrm{L}\\ & =0.0163871\mathrm{L}\end{array}$$