Convert US barrel to US cup
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.
US cup
The US cup is equal to $8$ US fluid ounces.
How to convert US barrel to US cup
$$\text{Volume}_{\text{cup (us)}} = \text{Volume}_{\text{bbl (US)}} \cdot 504$$
Examples
Example 1
Convert $20.0\ \text{bbl (US)}$ to $\text{cup (us)}$.
$$\text{Volume}_{\text{cup (us)}} = 20.0 \cdot 504$$
$$\text{Volume}_{\text{cup (us)}} = 10080$$
$$\therefore \ 20.0\ \text{bbl (US)} = 10080 \ \text{cup (us)}$$
Example 2
Convert $75.0\ \text{bbl (US)}$ to $\text{cup (us)}$.
$$\text{Volume}_{\text{cup (us)}} = 75.0 \cdot 504$$
$$\text{Volume}_{\text{cup (us)}} = 37800$$
$$\therefore \ 75.0\ \text{bbl (US)} = 37800 \ \text{cup (us)}$$
Example 3
Convert $100.0\ \text{bbl (US)}$ to $\text{cup (us)}$.
$$\text{Volume}_{\text{cup (us)}} = 100.0 \cdot 504$$
$$\text{Volume}_{\text{cup (us)}} = 50400$$
$$\therefore \ 100.0\ \text{bbl (US)} = 50400 \ \text{cup (us)}$$
Example 4
Convert $140.0\ \text{bbl (US)}$ to $\text{cup (us)}$.
$$\text{Volume}_{\text{cup (us)}} = 140.0 \cdot 504$$
$$\text{Volume}_{\text{cup (us)}} = 70560$$
$$\therefore \ 140.0\ \text{bbl (US)} = 70560 \ \text{cup (us)}$$
Example 5
Convert $165.0\ \text{bbl (US)}$ to $\text{cup (us)}$.
$$\text{Volume}_{\text{cup (us)}} = 165.0 \cdot 504$$
$$\text{Volume}_{\text{cup (us)}} = 83160$$
$$\therefore \ 165.0\ \text{bbl (US)} = 83160 \ \text{cup (us)}$$