Convert US cup to UK quart
Unit definitions
US cup
The US cup is equal to $8$ US fluid ounces.
UK quart
$40$ UK fluid ounces are equal to $1$ UK quart.
How to convert US cup to UK quart
$$\text{Volume}_{\text{qt (uk)}} = \text{Volume}_{\text{cup (us)}} \cdot 0.2081685461572472168390858957917683$$
Examples
Example 1
Convert $20.0\ \text{cup (us)}$ to $\text{qt (uk)}$.
$$\text{Volume}_{\text{qt (uk)}} = 20.0 \cdot 0.2081685461572472168390858957917683$$
$$\text{Volume}_{\text{qt (uk)}} = 4.163371$$
$$\therefore \ 20.0\ \text{cup (us)} = 4.163371 \ \text{qt (uk)}$$
Example 2
Convert $75.0\ \text{cup (us)}$ to $\text{qt (uk)}$.
$$\text{Volume}_{\text{qt (uk)}} = 75.0 \cdot 0.2081685461572472168390858957917683$$
$$\text{Volume}_{\text{qt (uk)}} = 15.612641$$
$$\therefore \ 75.0\ \text{cup (us)} = 15.612641 \ \text{qt (uk)}$$
Example 3
Convert $115.0\ \text{cup (us)}$ to $\text{qt (uk)}$.
$$\text{Volume}_{\text{qt (uk)}} = 115.0 \cdot 0.2081685461572472168390858957917683$$
$$\text{Volume}_{\text{qt (uk)}} = 23.939383$$
$$\therefore \ 115.0\ \text{cup (us)} = 23.939383 \ \text{qt (uk)}$$
Example 4
Convert $130.0\ \text{cup (us)}$ to $\text{qt (uk)}$.
$$\text{Volume}_{\text{qt (uk)}} = 130.0 \cdot 0.2081685461572472168390858957917683$$
$$\text{Volume}_{\text{qt (uk)}} = 27.061911$$
$$\therefore \ 130.0\ \text{cup (us)} = 27.061911 \ \text{qt (uk)}$$
Example 5
Convert $195.0\ \text{cup (us)}$ to $\text{qt (uk)}$.
$$\text{Volume}_{\text{qt (uk)}} = 195.0 \cdot 0.2081685461572472168390858957917683$$
$$\text{Volume}_{\text{qt (uk)}} = 40.592867$$
$$\therefore \ 195.0\ \text{cup (us)} = 40.592867 \ \text{qt (uk)}$$