Convert UK gallon to US dry gallon
Unit definitions
UK gallon
The UK gallon is a unit of volume equal to exactly $4.546\,09$ liters.
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 UK gallon to US dry gallon
$$\text{Volume}_{\text{gal (dry) (us)}} = \text{Volume}_{\text{gal (uk)}} \cdot 1.032056743488700770099937810098915$$
Examples
Example 1
Convert $40.0\ \text{gal (uk)}$ to $\text{gal (dry) (us)}$.
$$\text{Volume}_{\text{gal (dry) (us)}} = 40.0 \cdot 1.032056743488700770099937810098915$$
$$\text{Volume}_{\text{gal (dry) (us)}} = 41.28227$$
$$\therefore \ 40.0\ \text{gal (uk)} = 41.28227 \ \text{gal (dry) (us)}$$
Example 2
Convert $90.0\ \text{gal (uk)}$ to $\text{gal (dry) (us)}$.
$$\text{Volume}_{\text{gal (dry) (us)}} = 90.0 \cdot 1.032056743488700770099937810098915$$
$$\text{Volume}_{\text{gal (dry) (us)}} = 92.885107$$
$$\therefore \ 90.0\ \text{gal (uk)} = 92.885107 \ \text{gal (dry) (us)}$$
Example 3
Convert $110.0\ \text{gal (uk)}$ to $\text{gal (dry) (us)}$.
$$\text{Volume}_{\text{gal (dry) (us)}} = 110.0 \cdot 1.032056743488700770099937810098915$$
$$\text{Volume}_{\text{gal (dry) (us)}} = 113.526242$$
$$\therefore \ 110.0\ \text{gal (uk)} = 113.526242 \ \text{gal (dry) (us)}$$
Example 4
Convert $140.0\ \text{gal (uk)}$ to $\text{gal (dry) (us)}$.
$$\text{Volume}_{\text{gal (dry) (us)}} = 140.0 \cdot 1.032056743488700770099937810098915$$
$$\text{Volume}_{\text{gal (dry) (us)}} = 144.487944$$
$$\therefore \ 140.0\ \text{gal (uk)} = 144.487944 \ \text{gal (dry) (us)}$$
Example 5
Convert $160.0\ \text{gal (uk)}$ to $\text{gal (dry) (us)}$.
$$\text{Volume}_{\text{gal (dry) (us)}} = 160.0 \cdot 1.032056743488700770099937810098915$$
$$\text{Volume}_{\text{gal (dry) (us)}} = 165.129079$$
$$\therefore \ 160.0\ \text{gal (uk)} = 165.129079 \ \text{gal (dry) (us)}$$