Convert Cubic foot to Liter
Unit definitions
Cubic foot
The cubic foot is the volume of a cube with edges exactly $1$ foot in length.
Liter
The liter is a metric unit of volume equal to $1$ cubic decimeter (i.e., $10^{3}$ cubic centimeters). It is approximately equal to the mass of $1\ \text{kg}$ of water at room temperature.
How to convert Cubic foot to Liter
$$\text{Volume}_{\text{l}} = \text{Volume}_{\text{ft³}} \cdot 28.316846592$$
Examples
Example 1
Convert $20.0\ \text{ft³}$ to $\text{l}$.
$$\text{Volume}_{\text{l}} = 20.0 \cdot 28.316846592$$
$$\text{Volume}_{\text{l}} = 566.336932$$
$$\therefore \ 20.0\ \text{ft³} = 566.336932 \ \text{l}$$
Example 2
Convert $70.0\ \text{ft³}$ to $\text{l}$.
$$\text{Volume}_{\text{l}} = 70.0 \cdot 28.316846592$$
$$\text{Volume}_{\text{l}} = 1982.179261$$
$$\therefore \ 70.0\ \text{ft³} = 1982.179261 \ \text{l}$$
Example 3
Convert $110.0\ \text{ft³}$ to $\text{l}$.
$$\text{Volume}_{\text{l}} = 110.0 \cdot 28.316846592$$
$$\text{Volume}_{\text{l}} = 3114.853125$$
$$\therefore \ 110.0\ \text{ft³} = 3114.853125 \ \text{l}$$
Example 4
Convert $140.0\ \text{ft³}$ to $\text{l}$.
$$\text{Volume}_{\text{l}} = 140.0 \cdot 28.316846592$$
$$\text{Volume}_{\text{l}} = 3964.358523$$
$$\therefore \ 140.0\ \text{ft³} = 3964.358523 \ \text{l}$$
Example 5
Convert $200.0\ \text{ft³}$ to $\text{l}$.
$$\text{Volume}_{\text{l}} = 200.0 \cdot 28.316846592$$
$$\text{Volume}_{\text{l}} = 5663.369318$$
$$\therefore \ 200.0\ \text{ft³} = 5663.369318 \ \text{l}$$
Cubic foot to Liter conversion table
| Cubic foot [ft³] | Liter [l] |
|---|---|
| 1 | 28.316847 |
| 2 | 56.633693 |
| 3 | 84.95054 |
| 4 | 113.267386 |
| 5 | 141.584233 |
| 6 | 169.90108 |
| 7 | 198.217926 |
| 8 | 226.534773 |
| 9 | 254.851619 |
| 10 | 283.168466 |