in³ a gal(UK) convertidor - Pulgada cúbica a Galón británico

Conversion derivation

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

1. 1

   Rewrite in³ in the base unit

   $$1\mathrm{i}{\mathrm{n}}^3=0.0000163871{\mathrm{m}}^3$$
2. 2

   Rewrite gal(UK) in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{i}{\mathrm{n}}^3& =\frac{0.0000163871\cancel{{\mathrm{m}}^3}}{0.00454609\cancel{{\mathrm{m}}^3}}\times 1\mathrm{gal}(\mathrm{UK})\\ & =\frac{0.0000163871}{0.00454609}\mathrm{gal}(\mathrm{UK})\\ & =0.003604658069\mathrm{gal}(\mathrm{UK})\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{gal}(\mathrm{UK})& =\frac{0.00454609\cancel{{\mathrm{m}}^3}}{0.0000163871\cancel{{\mathrm{m}}^3}}\times 1\mathrm{i}{\mathrm{n}}^3\\ & =\frac{0.00454609}{0.0000163871}\mathrm{i}{\mathrm{n}}^3\\ & =277.418823343\mathrm{i}{\mathrm{n}}^3\end{array}$$