Convert US cup to US beer barrel
Unit definitions
US cup
The US cup is equal to $8$ US fluid ounces.
US beer barrel
The US beer barrel is defined as exactly $31$ US liquid gallons.
How to convert US cup to US beer barrel
$$\text{Volume}_{\text{bbl (beer)}} = \frac{\text{Volume}_{\text{cup (us)}}}{496}$$
Examples
Example 1
Convert $40.0\ \text{cup (us)}$ to $\text{bbl (beer)}$.
$$\text{Volume}_{\text{bbl (beer)}} = \frac{40.0}{496}$$
$$\text{Volume}_{\text{bbl (beer)}} = 0.080645$$
$$\therefore \ 40.0\ \text{cup (us)} = 0.080645 \ \text{bbl (beer)}$$
Example 2
Convert $60.0\ \text{cup (us)}$ to $\text{bbl (beer)}$.
$$\text{Volume}_{\text{bbl (beer)}} = \frac{60.0}{496}$$
$$\text{Volume}_{\text{bbl (beer)}} = 0.120968$$
$$\therefore \ 60.0\ \text{cup (us)} = 0.120968 \ \text{bbl (beer)}$$
Example 3
Convert $110.0\ \text{cup (us)}$ to $\text{bbl (beer)}$.
$$\text{Volume}_{\text{bbl (beer)}} = \frac{110.0}{496}$$
$$\text{Volume}_{\text{bbl (beer)}} = 0.221774$$
$$\therefore \ 110.0\ \text{cup (us)} = 0.221774 \ \text{bbl (beer)}$$
Example 4
Convert $140.0\ \text{cup (us)}$ to $\text{bbl (beer)}$.
$$\text{Volume}_{\text{bbl (beer)}} = \frac{140.0}{496}$$
$$\text{Volume}_{\text{bbl (beer)}} = 0.282258$$
$$\therefore \ 140.0\ \text{cup (us)} = 0.282258 \ \text{bbl (beer)}$$
Example 5
Convert $165.0\ \text{cup (us)}$ to $\text{bbl (beer)}$.
$$\text{Volume}_{\text{bbl (beer)}} = \frac{165.0}{496}$$
$$\text{Volume}_{\text{bbl (beer)}} = 0.332661$$
$$\therefore \ 165.0\ \text{cup (us)} = 0.332661 \ \text{bbl (beer)}$$