Convert US cup to US barrel
Unit definitions
US cup
The US cup is equal to $8$ US fluid ounces.
US barrel
The US barrel is the standard liquid barrel in the US customary system. One US barrel equals $31.5$ US liquid gallons.
How to convert US cup to US barrel
$$\text{Volume}_{\text{bbl (US)}} = \frac{\text{Volume}_{\text{cup (us)}}}{504}$$
Examples
Example 1
Convert $25.0\ \text{cup (us)}$ to $\text{bbl (US)}$.
$$\text{Volume}_{\text{bbl (US)}} = \frac{25.0}{504}$$
$$\text{Volume}_{\text{bbl (US)}} = 0.049603$$
$$\therefore \ 25.0\ \text{cup (us)} = 0.049603 \ \text{bbl (US)}$$
Example 2
Convert $60.0\ \text{cup (us)}$ to $\text{bbl (US)}$.
$$\text{Volume}_{\text{bbl (US)}} = \frac{60.0}{504}$$
$$\text{Volume}_{\text{bbl (US)}} = 0.119048$$
$$\therefore \ 60.0\ \text{cup (us)} = 0.119048 \ \text{bbl (US)}$$
Example 3
Convert $120.0\ \text{cup (us)}$ to $\text{bbl (US)}$.
$$\text{Volume}_{\text{bbl (US)}} = \frac{120.0}{504}$$
$$\text{Volume}_{\text{bbl (US)}} = 0.238095$$
$$\therefore \ 120.0\ \text{cup (us)} = 0.238095 \ \text{bbl (US)}$$
Example 4
Convert $140.0\ \text{cup (us)}$ to $\text{bbl (US)}$.
$$\text{Volume}_{\text{bbl (US)}} = \frac{140.0}{504}$$
$$\text{Volume}_{\text{bbl (US)}} = 0.277778$$
$$\therefore \ 140.0\ \text{cup (us)} = 0.277778 \ \text{bbl (US)}$$
Example 5
Convert $195.0\ \text{cup (us)}$ to $\text{bbl (US)}$.
$$\text{Volume}_{\text{bbl (US)}} = \frac{195.0}{504}$$
$$\text{Volume}_{\text{bbl (US)}} = 0.386905$$
$$\therefore \ 195.0\ \text{cup (us)} = 0.386905 \ \text{bbl (US)}$$