m³ a cup(US) convertitore - Metro cubo a Tazza USA

Conversion derivation

Express both m³ and cup(US) in the same base unit m³ (cubic meter), then cancel the shared base unit.

1. 1

   Rewrite m³ in the base unit

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

   Rewrite cup(US) in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1{\mathrm{m}}^3& =\frac{1\cancel{{\mathrm{m}}^3}}{0.000236588\cancel{{\mathrm{m}}^3}}\times 1\mathrm{cup}(\mathrm{US})\\ & =\frac{1}{0.000236588}\mathrm{cup}(\mathrm{US})\\ & =4,226.75706291\mathrm{cup}(\mathrm{US})\end{array}$$
4. 4

   Reverse conversion

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