The volume \( V \) of a cube can be calculated using the formula:
\[ V = s^3 \]
where \( s \) is the length of a side of the cube. For a cube with a side length of 6 cm, the volume would be:
\[ V = 6^3 = 6 \times 6 \times 6 = 216 , \text{cm}^3 \]
Therefore, the volume of the cube is \( 216 , \text{cm}^3 \).