Calculate Cube Edge Length from Volume: Finding Side Length of 216 cm³ Cube

To find the length of the edge of a cube with a volume of 216 cm$^3$, we need to find the cube root of 216.

The formula for the volume of a cube is given by:

• $\text{Volume} = s^3$, where $s$ is the length of an edge of the cube.

We are given the volume $216 \, \text{cm}^3$, so we set up the equation:

• $s^3 = 216$

To solve for $s$, we take the cube root of both sides of the equation:

$s = \sqrt[3]{216}$

Calculating the cube root of 216, we find:

• $\sqrt[3]{216} = 6$

Therefore, the length of each edge of the cube is $6$ cm.

The correct answer to the problem is $6$ cm.