Convert US beer barrel to UK bushel
Unit definitions
US beer barrel
The US beer barrel is defined as exactly $31$ US liquid gallons.
UK bushel
The UK bushel is equal to $8$ UK gallons.
How to convert US beer barrel to UK bushel
$$\text{Volume}_{\text{bu (uk)}} = \text{Volume}_{\text{bbl (beer)}} \cdot 3.226612465437331861005831384772409$$
Examples
Example 1
Convert $50.0\ \text{bbl (beer)}$ to $\text{bu (uk)}$.
$$\text{Volume}_{\text{bu (uk)}} = 50.0 \cdot 3.226612465437331861005831384772409$$
$$\text{Volume}_{\text{bu (uk)}} = 161.330623$$
$$\therefore \ 50.0\ \text{bbl (beer)} = 161.330623 \ \text{bu (uk)}$$
Example 2
Convert $85.0\ \text{bbl (beer)}$ to $\text{bu (uk)}$.
$$\text{Volume}_{\text{bu (uk)}} = 85.0 \cdot 3.226612465437331861005831384772409$$
$$\text{Volume}_{\text{bu (uk)}} = 274.26206$$
$$\therefore \ 85.0\ \text{bbl (beer)} = 274.26206 \ \text{bu (uk)}$$
Example 3
Convert $100.0\ \text{bbl (beer)}$ to $\text{bu (uk)}$.
$$\text{Volume}_{\text{bu (uk)}} = 100.0 \cdot 3.226612465437331861005831384772409$$
$$\text{Volume}_{\text{bu (uk)}} = 322.661247$$
$$\therefore \ 100.0\ \text{bbl (beer)} = 322.661247 \ \text{bu (uk)}$$
Example 4
Convert $145.0\ \text{bbl (beer)}$ to $\text{bu (uk)}$.
$$\text{Volume}_{\text{bu (uk)}} = 145.0 \cdot 3.226612465437331861005831384772409$$
$$\text{Volume}_{\text{bu (uk)}} = 467.858807$$
$$\therefore \ 145.0\ \text{bbl (beer)} = 467.858807 \ \text{bu (uk)}$$
Example 5
Convert $160.0\ \text{bbl (beer)}$ to $\text{bu (uk)}$.
$$\text{Volume}_{\text{bu (uk)}} = 160.0 \cdot 3.226612465437331861005831384772409$$
$$\text{Volume}_{\text{bu (uk)}} = 516.257994$$
$$\therefore \ 160.0\ \text{bbl (beer)} = 516.257994 \ \text{bu (uk)}$$