美制杯转立方英寸换算器 | 1 cup(US) = 14.4374538509 in³

换算推导过程

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

1. 1

   cup(US) 先写成基准单位

   $$1\mathrm{cup}(\mathrm{US})=0.000236588{\mathrm{m}}^3$$
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

   $$\begin{array}{rl}1\mathrm{cup}(\mathrm{US})& =\frac{0.000236588\cancel{{\mathrm{m}}^3}}{0.0000163871\cancel{{\mathrm{m}}^3}}\times 1\mathrm{i}{\mathrm{n}}^3\\ & =\frac{0.000236588}{0.0000163871}\mathrm{i}{\mathrm{n}}^3\\ & =14.4374538509\mathrm{i}{\mathrm{n}}^3\end{array}$$
4. 4

   反向换算

   $$\begin{array}{rl}1\mathrm{i}{\mathrm{n}}^3& =\frac{0.0000163871\cancel{{\mathrm{m}}^3}}{0.000236588\cancel{{\mathrm{m}}^3}}\times 1\mathrm{cup}(\mathrm{US})\\ & =\frac{0.0000163871}{0.000236588}\mathrm{cup}(\mathrm{US})\\ & =0.069264290666\mathrm{cup}(\mathrm{US})\end{array}$$