Convert Cubic foot to Cubic yard
Unit definitions
Cubic foot
The cubic foot is the volume of a cube with edges exactly $1$ foot in length.
Cubic yard
The cubic yard is the volume of a cube with edges exactly $1$ yard in length.
How to convert Cubic foot to Cubic yard
$$\text{Volume}_{\text{yd³}} = \frac{\text{Volume}_{\text{ft³}}}{27}$$
Examples
Example 1
Convert $50.0\ \text{ft³}$ to $\text{yd³}$.
$$\text{Volume}_{\text{yd³}} = \frac{50.0}{27}$$
$$\text{Volume}_{\text{yd³}} = 1.851852$$
$$\therefore \ 50.0\ \text{ft³} = 1.851852 \ \text{yd³}$$
Example 2
Convert $65.0\ \text{ft³}$ to $\text{yd³}$.
$$\text{Volume}_{\text{yd³}} = \frac{65.0}{27}$$
$$\text{Volume}_{\text{yd³}} = 2.407407$$
$$\therefore \ 65.0\ \text{ft³} = 2.407407 \ \text{yd³}$$
Example 3
Convert $100.0\ \text{ft³}$ to $\text{yd³}$.
$$\text{Volume}_{\text{yd³}} = \frac{100.0}{27}$$
$$\text{Volume}_{\text{yd³}} = 3.703704$$
$$\therefore \ 100.0\ \text{ft³} = 3.703704 \ \text{yd³}$$
Example 4
Convert $145.0\ \text{ft³}$ to $\text{yd³}$.
$$\text{Volume}_{\text{yd³}} = \frac{145.0}{27}$$
$$\text{Volume}_{\text{yd³}} = 5.37037$$
$$\therefore \ 145.0\ \text{ft³} = 5.37037 \ \text{yd³}$$
Example 5
Convert $175.0\ \text{ft³}$ to $\text{yd³}$.
$$\text{Volume}_{\text{yd³}} = \frac{175.0}{27}$$
$$\text{Volume}_{\text{yd³}} = 6.481481$$
$$\therefore \ 175.0\ \text{ft³} = 6.481481 \ \text{yd³}$$