ft³ to L Converter - Cubic Foot to Liter

Conversion derivation

Express both ft³ and L in the same base unit m³ (cubic meter), then cancel the shared base unit.

1. 1

   Rewrite ft³ in the base unit

   $$1\mathrm{f}{\mathrm{t}}^3=0.0283168{\mathrm{m}}^3$$
2. 2

   Rewrite L in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{f}{\mathrm{t}}^3& =\frac{0.0283168\cancel{{\mathrm{m}}^3}}{0.001\cancel{{\mathrm{m}}^3}}\times 1\mathrm{L}\\ & =\frac{0.0283168}{0.001}\mathrm{L}\\ & =28.3168\mathrm{L}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{L}& =\frac{0.001\cancel{{\mathrm{m}}^3}}{0.0283168\cancel{{\mathrm{m}}^3}}\times 1\mathrm{f}{\mathrm{t}}^3\\ & =\frac{0.001}{0.0283168}\mathrm{f}{\mathrm{t}}^3\\ & =0.035314724828\mathrm{f}{\mathrm{t}}^3\end{array}$$