立方英寸转美制加仑换算器 | 1 in³ = 0.004329015879 gal(US)

换算推导过程

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

1. 1

   in³ 先写成基准单位

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

   gal(US) 先写成基准单位

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

   正向换算

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

   反向换算

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