m³ vers gal(UK) convertisseur - Mètre Cube vers Gallon UK

Conversion derivation

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

1. 1

   Rewrite m³ in the base unit

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

   Rewrite gal(UK) in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1{\mathrm{m}}^3& =\frac{1\cancel{{\mathrm{m}}^3}}{0.00454609\cancel{{\mathrm{m}}^3}}\times 1\mathrm{gal}(\mathrm{UK})\\ & =\frac{1}{0.00454609}\mathrm{gal}(\mathrm{UK})\\ & =219.969248299\mathrm{gal}(\mathrm{UK})\end{array}$$
4. 4

   Reverse conversion

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