Convert US barrel to Cubic yard
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.
Cubic yard
The cubic yard is the volume of a cube with edges exactly $1$ yard in length.
How to convert US barrel to Cubic yard
$$\text{Volume}_{\text{yd³}} = \text{Volume}_{\text{bbl (US)}} \cdot 0.1559606481481481481481481481481481$$
Examples
Example 1
Convert $45.0\ \text{bbl (US)}$ to $\text{yd³}$.
$$\text{Volume}_{\text{yd³}} = 45.0 \cdot 0.1559606481481481481481481481481481$$
$$\text{Volume}_{\text{yd³}} = 7.018229$$
$$\therefore \ 45.0\ \text{bbl (US)} = 7.018229 \ \text{yd³}$$
Example 2
Convert $80.0\ \text{bbl (US)}$ to $\text{yd³}$.
$$\text{Volume}_{\text{yd³}} = 80.0 \cdot 0.1559606481481481481481481481481481$$
$$\text{Volume}_{\text{yd³}} = 12.476852$$
$$\therefore \ 80.0\ \text{bbl (US)} = 12.476852 \ \text{yd³}$$
Example 3
Convert $105.0\ \text{bbl (US)}$ to $\text{yd³}$.
$$\text{Volume}_{\text{yd³}} = 105.0 \cdot 0.1559606481481481481481481481481481$$
$$\text{Volume}_{\text{yd³}} = 16.375868$$
$$\therefore \ 105.0\ \text{bbl (US)} = 16.375868 \ \text{yd³}$$
Example 4
Convert $140.0\ \text{bbl (US)}$ to $\text{yd³}$.
$$\text{Volume}_{\text{yd³}} = 140.0 \cdot 0.1559606481481481481481481481481481$$
$$\text{Volume}_{\text{yd³}} = 21.834491$$
$$\therefore \ 140.0\ \text{bbl (US)} = 21.834491 \ \text{yd³}$$
Example 5
Convert $180.0\ \text{bbl (US)}$ to $\text{yd³}$.
$$\text{Volume}_{\text{yd³}} = 180.0 \cdot 0.1559606481481481481481481481481481$$
$$\text{Volume}_{\text{yd³}} = 28.072917$$
$$\therefore \ 180.0\ \text{bbl (US)} = 28.072917 \ \text{yd³}$$