in³ vers gal(US) convertisseur - Pouce Cube vers Gallon US

Conversion derivation

Express both in³ and gal(US) 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(US) in the base unit

   $$1\mathrm{gal}(\mathrm{US})=0.00378541{\mathrm{m}}^3$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{i}{\mathrm{n}}^3& =\frac{0.0000163871\cancel{{\mathrm{m}}^3}}{0.00378541\cancel{{\mathrm{m}}^3}}\times 1\mathrm{gal}(\mathrm{US})\\ & =\frac{0.0000163871}{0.00378541}\mathrm{gal}(\mathrm{US})\\ & =0.004329015879\mathrm{gal}(\mathrm{US})\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{gal}(\mathrm{US})& =\frac{0.00378541\cancel{{\mathrm{m}}^3}}{0.0000163871\cancel{{\mathrm{m}}^3}}\times 1\mathrm{i}{\mathrm{n}}^3\\ & =\frac{0.00378541}{0.0000163871}\mathrm{i}{\mathrm{n}}^3\\ & =230.999383662\mathrm{i}{\mathrm{n}}^3\end{array}$$