立方英尺转英制加仑换算器 | 1 ft³ = 6.22882521024 gal(UK)

换算推导过程

先把 ft³ 和 gal(UK) 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(UK) 先写成基准单位

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

   正向换算

   $$\begin{array}{rl}1\mathrm{f}{\mathrm{t}}^3& =\frac{0.0283168\cancel{{\mathrm{m}}^3}}{0.00454609\cancel{{\mathrm{m}}^3}}\times 1\mathrm{gal}(\mathrm{UK})\\ & =\frac{0.0283168}{0.00454609}\mathrm{gal}(\mathrm{UK})\\ & =6.22882521024\mathrm{gal}(\mathrm{UK})\end{array}$$
4. 4

   反向换算

   $$\begin{array}{rl}1\mathrm{gal}(\mathrm{UK})& =\frac{0.00454609\cancel{{\mathrm{m}}^3}}{0.0283168\cancel{{\mathrm{m}}^3}}\times 1\mathrm{f}{\mathrm{t}}^3\\ & =\frac{0.00454609}{0.0283168}\mathrm{f}{\mathrm{t}}^3\\ & =0.160543917392\mathrm{f}{\mathrm{t}}^3\end{array}$$