gal(UK) a cm³ convertidor - Galón británico a Centímetro cúbico

Conversion derivation

Express both gal(UK) and cm³ in the same base unit m³ (cubic meter), then cancel the shared base unit.

1. 1

   Rewrite gal(UK) in the base unit

   $$1\mathrm{gal}(\mathrm{UK})=0.00454609{\mathrm{m}}^3$$
2. 2

   Rewrite cm³ in the base unit

   $$1\mathrm{c}{\mathrm{m}}^3=0.000001{\mathrm{m}}^3$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{gal}(\mathrm{UK})& =\frac{0.00454609\cancel{{\mathrm{m}}^3}}{0.000001\cancel{{\mathrm{m}}^3}}\times 1\mathrm{c}{\mathrm{m}}^3\\ & =\frac{0.00454609}{0.000001}\mathrm{c}{\mathrm{m}}^3\\ & =4,546.09\mathrm{c}{\mathrm{m}}^3\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{c}{\mathrm{m}}^3& =\frac{0.000001\cancel{{\mathrm{m}}^3}}{0.00454609\cancel{{\mathrm{m}}^3}}\times 1\mathrm{gal}(\mathrm{UK})\\ & =\frac{0.000001}{0.00454609}\mathrm{gal}(\mathrm{UK})\\ & =0.000219969248\mathrm{gal}(\mathrm{UK})\end{array}$$