Convert US cup to UK gallon
Unit definitions
US cup
The US cup is equal to $8$ US fluid ounces.
UK gallon
The UK gallon is a unit of volume equal to exactly $4.546\,09$ liters.
How to convert US cup to UK gallon
$$\text{Volume}_{\text{gal (uk)}} = \text{Volume}_{\text{cup (us)}} \cdot 0.05204213653931180420977147394794208$$
Examples
Example 1
Convert $20.0\ \text{cup (us)}$ to $\text{gal (uk)}$.
$$\text{Volume}_{\text{gal (uk)}} = 20.0 \cdot 0.05204213653931180420977147394794208$$
$$\text{Volume}_{\text{gal (uk)}} = 1.040843$$
$$\therefore \ 20.0\ \text{cup (us)} = 1.040843 \ \text{gal (uk)}$$
Example 2
Convert $75.0\ \text{cup (us)}$ to $\text{gal (uk)}$.
$$\text{Volume}_{\text{gal (uk)}} = 75.0 \cdot 0.05204213653931180420977147394794208$$
$$\text{Volume}_{\text{gal (uk)}} = 3.90316$$
$$\therefore \ 75.0\ \text{cup (us)} = 3.90316 \ \text{gal (uk)}$$
Example 3
Convert $120.0\ \text{cup (us)}$ to $\text{gal (uk)}$.
$$\text{Volume}_{\text{gal (uk)}} = 120.0 \cdot 0.05204213653931180420977147394794208$$
$$\text{Volume}_{\text{gal (uk)}} = 6.245056$$
$$\therefore \ 120.0\ \text{cup (us)} = 6.245056 \ \text{gal (uk)}$$
Example 4
Convert $135.0\ \text{cup (us)}$ to $\text{gal (uk)}$.
$$\text{Volume}_{\text{gal (uk)}} = 135.0 \cdot 0.05204213653931180420977147394794208$$
$$\text{Volume}_{\text{gal (uk)}} = 7.025688$$
$$\therefore \ 135.0\ \text{cup (us)} = 7.025688 \ \text{gal (uk)}$$
Example 5
Convert $165.0\ \text{cup (us)}$ to $\text{gal (uk)}$.
$$\text{Volume}_{\text{gal (uk)}} = 165.0 \cdot 0.05204213653931180420977147394794208$$
$$\text{Volume}_{\text{gal (uk)}} = 8.586953$$
$$\therefore \ 165.0\ \text{cup (us)} = 8.586953 \ \text{gal (uk)}$$