立方英尺转立方英寸换算器 | 1 ft³ = 1,727.99336063 in³

换算推导过程

先把 ft³ 和 in³ 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

   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

   $$\begin{array}{rl}1\mathrm{f}{\mathrm{t}}^3& =\frac{0.0283168\cancel{{\mathrm{m}}^3}}{0.0000163871\cancel{{\mathrm{m}}^3}}\times 1\mathrm{i}{\mathrm{n}}^3\\ & =\frac{0.0283168}{0.0000163871}\mathrm{i}{\mathrm{n}}^3\\ & =1,727.99336063\mathrm{i}{\mathrm{n}}^3\end{array}$$
4. 4

   反向换算

   $$\begin{array}{rl}1\mathrm{i}{\mathrm{n}}^3& =\frac{0.0000163871\cancel{{\mathrm{m}}^3}}{0.0283168\cancel{{\mathrm{m}}^3}}\times 1\mathrm{f}{\mathrm{t}}^3\\ & =\frac{0.0000163871}{0.0283168}\mathrm{f}{\mathrm{t}}^3\\ & =0.000578705927\mathrm{f}{\mathrm{t}}^3\end{array}$$