cup(US) a gal(US) convertidor - Taza estadounidense a Galón estadounidense

Conversion derivation

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

1. 1

   Rewrite cup(US) in the base unit

   $$1\mathrm{cup}(\mathrm{US})=0.000236588m3$$
2. 2

   Rewrite gal(US) in the base unit

   $$1\mathrm{gal}(\mathrm{US})=0.00378541m3$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{cup}(\mathrm{US})& =\frac{0.000236588\cancel{m3}}{0.00378541\cancel{m3}}\times 1\mathrm{gal}(\mathrm{US})\\ & =\frac{0.000236588}{0.00378541}\mathrm{gal}(\mathrm{US})\\ & =0.062499966979\mathrm{gal}(\mathrm{US})\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{gal}(\mathrm{US})& =\frac{0.00378541\cancel{m3}}{0.000236588\cancel{m3}}\times 1\mathrm{cup}(\mathrm{US})\\ & =\frac{0.00378541}{0.000236588}\mathrm{cup}(\mathrm{US})\\ & =16.0000084535\mathrm{cup}(\mathrm{US})\end{array}$$