立方英尺转美制加仑换算器 | 1 ft³ = 7.48051069765 gal(US)

换算推导过程

先把 ft³ 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

   ft³ 先写成基准单位

   $$1\mathrm{f}{\mathrm{t}}^3=0.0283168{\mathrm{m}}^3$$
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

   $$\begin{array}{rl}1\mathrm{f}{\mathrm{t}}^3& =\frac{0.0283168\cancel{{\mathrm{m}}^3}}{0.00378541\cancel{{\mathrm{m}}^3}}\times 1\mathrm{gal}(\mathrm{US})\\ & =\frac{0.0283168}{0.00378541}\mathrm{gal}(\mathrm{US})\\ & =7.48051069765\mathrm{gal}(\mathrm{US})\end{array}$$
4. 4

   反向换算

   $$\begin{array}{rl}1\mathrm{gal}(\mathrm{US})& =\frac{0.00378541\cancel{{\mathrm{m}}^3}}{0.0283168\cancel{{\mathrm{m}}^3}}\times 1\mathrm{f}{\mathrm{t}}^3\\ & =\frac{0.00378541}{0.0283168}\mathrm{f}{\mathrm{t}}^3\\ & =0.13368071251\mathrm{f}{\mathrm{t}}^3\end{array}$$