Convert US beer barrel to US cup
Unit definitions
US beer barrel
The US beer barrel is defined as exactly $31$ US liquid gallons.
US cup
The US cup is equal to $8$ US fluid ounces.
How to convert US beer barrel to US cup
$$\text{Volume}_{\text{cup (us)}} = \text{Volume}_{\text{bbl (beer)}} \cdot 496$$
Examples
Example 1
Convert $20.0\ \text{bbl (beer)}$ to $\text{cup (us)}$.
$$\text{Volume}_{\text{cup (us)}} = 20.0 \cdot 496$$
$$\text{Volume}_{\text{cup (us)}} = 9920$$
$$\therefore \ 20.0\ \text{bbl (beer)} = 9920 \ \text{cup (us)}$$
Example 2
Convert $60.0\ \text{bbl (beer)}$ to $\text{cup (us)}$.
$$\text{Volume}_{\text{cup (us)}} = 60.0 \cdot 496$$
$$\text{Volume}_{\text{cup (us)}} = 29760$$
$$\therefore \ 60.0\ \text{bbl (beer)} = 29760 \ \text{cup (us)}$$
Example 3
Convert $120.0\ \text{bbl (beer)}$ to $\text{cup (us)}$.
$$\text{Volume}_{\text{cup (us)}} = 120.0 \cdot 496$$
$$\text{Volume}_{\text{cup (us)}} = 59520$$
$$\therefore \ 120.0\ \text{bbl (beer)} = 59520 \ \text{cup (us)}$$
Example 4
Convert $140.0\ \text{bbl (beer)}$ to $\text{cup (us)}$.
$$\text{Volume}_{\text{cup (us)}} = 140.0 \cdot 496$$
$$\text{Volume}_{\text{cup (us)}} = 69440$$
$$\therefore \ 140.0\ \text{bbl (beer)} = 69440 \ \text{cup (us)}$$
Example 5
Convert $190.0\ \text{bbl (beer)}$ to $\text{cup (us)}$.
$$\text{Volume}_{\text{cup (us)}} = 190.0 \cdot 496$$
$$\text{Volume}_{\text{cup (us)}} = 94240$$
$$\therefore \ 190.0\ \text{bbl (beer)} = 94240 \ \text{cup (us)}$$