Convert US cup to US dry gallon
Unit definitions
US cup
The US cup is equal to $8$ US fluid ounces.
US dry gallon
The US dry gallon is a unit of volume in the US Customary system, specifically used for dry goods like fruits, vegetables, and grains. It is equal to $268.8025$ cubic inches.
How to convert US cup to US dry gallon
$$\text{Volume}_{\text{gal (dry) (us)}} = \text{Volume}_{\text{cup (us)}} \cdot 0.05371043796095646431859822732303457$$
Examples
Example 1
Convert $20.0\ \text{cup (us)}$ to $\text{gal (dry) (us)}$.
$$\text{Volume}_{\text{gal (dry) (us)}} = 20.0 \cdot 0.05371043796095646431859822732303457$$
$$\text{Volume}_{\text{gal (dry) (us)}} = 1.074209$$
$$\therefore \ 20.0\ \text{cup (us)} = 1.074209 \ \text{gal (dry) (us)}$$
Example 2
Convert $90.0\ \text{cup (us)}$ to $\text{gal (dry) (us)}$.
$$\text{Volume}_{\text{gal (dry) (us)}} = 90.0 \cdot 0.05371043796095646431859822732303457$$
$$\text{Volume}_{\text{gal (dry) (us)}} = 4.833939$$
$$\therefore \ 90.0\ \text{cup (us)} = 4.833939 \ \text{gal (dry) (us)}$$
Example 3
Convert $115.0\ \text{cup (us)}$ to $\text{gal (dry) (us)}$.
$$\text{Volume}_{\text{gal (dry) (us)}} = 115.0 \cdot 0.05371043796095646431859822732303457$$
$$\text{Volume}_{\text{gal (dry) (us)}} = 6.1767$$
$$\therefore \ 115.0\ \text{cup (us)} = 6.1767 \ \text{gal (dry) (us)}$$
Example 4
Convert $145.0\ \text{cup (us)}$ to $\text{gal (dry) (us)}$.
$$\text{Volume}_{\text{gal (dry) (us)}} = 145.0 \cdot 0.05371043796095646431859822732303457$$
$$\text{Volume}_{\text{gal (dry) (us)}} = 7.788014$$
$$\therefore \ 145.0\ \text{cup (us)} = 7.788014 \ \text{gal (dry) (us)}$$
Example 5
Convert $185.0\ \text{cup (us)}$ to $\text{gal (dry) (us)}$.
$$\text{Volume}_{\text{gal (dry) (us)}} = 185.0 \cdot 0.05371043796095646431859822732303457$$
$$\text{Volume}_{\text{gal (dry) (us)}} = 9.936431$$
$$\therefore \ 185.0\ \text{cup (us)} = 9.936431 \ \text{gal (dry) (us)}$$