ft³ vers gal(UK) convertisseur - Pied Cube vers Gallon UK

Conversion derivation

Express both ft³ and gal(UK) 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 gal(UK) in the base unit

   $$1\mathrm{gal}(\mathrm{UK})=0.00454609{\mathrm{m}}^3$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{f}{\mathrm{t}}^3& =\frac{0.0283168\cancel{{\mathrm{m}}^3}}{0.00454609\cancel{{\mathrm{m}}^3}}\times 1\mathrm{gal}(\mathrm{UK})\\ & =\frac{0.0283168}{0.00454609}\mathrm{gal}(\mathrm{UK})\\ & =6.22882521024\mathrm{gal}(\mathrm{UK})\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{gal}(\mathrm{UK})& =\frac{0.00454609\cancel{{\mathrm{m}}^3}}{0.0283168\cancel{{\mathrm{m}}^3}}\times 1\mathrm{f}{\mathrm{t}}^3\\ & =\frac{0.00454609}{0.0283168}\mathrm{f}{\mathrm{t}}^3\\ & =0.160543917392\mathrm{f}{\mathrm{t}}^3\end{array}$$