fl oz(US) a cup(US) convertidor - Onza líquida estadounidense a Taza estadounidense

Conversion derivation

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

1. 1

   Rewrite fl oz(US) in the base unit

   $$1\mathrm{floz}(\mathrm{US})=0.0000295735m3$$
2. 2

   Rewrite cup(US) in the base unit

   $$1\mathrm{cup}(\mathrm{US})=0.000236588m3$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{floz}(\mathrm{US})& =\frac{0.0000295735\cancel{m3}}{0.000236588\cancel{m3}}\times 1\mathrm{cup}(\mathrm{US})\\ & =\frac{0.0000295735}{0.000236588}\mathrm{cup}(\mathrm{US})\\ & =0.125\mathrm{cup}(\mathrm{US})\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{cup}(\mathrm{US})& =\frac{0.000236588\cancel{m3}}{0.0000295735\cancel{m3}}\times 1\mathrm{floz}(\mathrm{US})\\ & =\frac{0.000236588}{0.0000295735}\mathrm{floz}(\mathrm{US})\\ & =8\mathrm{floz}(\mathrm{US})\end{array}$$