Convert US barrel to UK bushel
Unit definitions
US barrel
The US barrel is the standard liquid barrel in the US customary system. One US barrel equals $31.5$ US liquid gallons.
UK bushel
The UK bushel is equal to $8$ UK gallons.
How to convert US barrel to UK bushel
$$\text{Volume}_{\text{bu (uk)}} = \text{Volume}_{\text{bbl (US)}} \cdot 3.278654601976643665215602858720351$$
Examples
Example 1
Convert $45.0\ \text{bbl (US)}$ to $\text{bu (uk)}$.
$$\text{Volume}_{\text{bu (uk)}} = 45.0 \cdot 3.278654601976643665215602858720351$$
$$\text{Volume}_{\text{bu (uk)}} = 147.539457$$
$$\therefore \ 45.0\ \text{bbl (US)} = 147.539457 \ \text{bu (uk)}$$
Example 2
Convert $90.0\ \text{bbl (US)}$ to $\text{bu (uk)}$.
$$\text{Volume}_{\text{bu (uk)}} = 90.0 \cdot 3.278654601976643665215602858720351$$
$$\text{Volume}_{\text{bu (uk)}} = 295.078914$$
$$\therefore \ 90.0\ \text{bbl (US)} = 295.078914 \ \text{bu (uk)}$$
Example 3
Convert $120.0\ \text{bbl (US)}$ to $\text{bu (uk)}$.
$$\text{Volume}_{\text{bu (uk)}} = 120.0 \cdot 3.278654601976643665215602858720351$$
$$\text{Volume}_{\text{bu (uk)}} = 393.438552$$
$$\therefore \ 120.0\ \text{bbl (US)} = 393.438552 \ \text{bu (uk)}$$
Example 4
Convert $135.0\ \text{bbl (US)}$ to $\text{bu (uk)}$.
$$\text{Volume}_{\text{bu (uk)}} = 135.0 \cdot 3.278654601976643665215602858720351$$
$$\text{Volume}_{\text{bu (uk)}} = 442.618371$$
$$\therefore \ 135.0\ \text{bbl (US)} = 442.618371 \ \text{bu (uk)}$$
Example 5
Convert $175.0\ \text{bbl (US)}$ to $\text{bu (uk)}$.
$$\text{Volume}_{\text{bu (uk)}} = 175.0 \cdot 3.278654601976643665215602858720351$$
$$\text{Volume}_{\text{bu (uk)}} = 573.764555$$
$$\therefore \ 175.0\ \text{bbl (US)} = 573.764555 \ \text{bu (uk)}$$