英制加仑转立方英寸换算器 | 1 gal(UK) = 277.418823343 in³

换算推导过程

先把 gal(UK) 和 in³ 都写成同一个基准单位 m³（cubic meter），再消去基准单位。

1. 1

   gal(UK) 先写成基准单位

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

   in³ 先写成基准单位

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

   正向换算

   $$\begin{array}{rl}1\mathrm{gal}(\mathrm{UK})& =\frac{0.00454609\cancel{{\mathrm{m}}^3}}{0.0000163871\cancel{{\mathrm{m}}^3}}\times 1\mathrm{i}{\mathrm{n}}^3\\ & =\frac{0.00454609}{0.0000163871}\mathrm{i}{\mathrm{n}}^3\\ & =277.418823343\mathrm{i}{\mathrm{n}}^3\end{array}$$
4. 4

   反向换算

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