The volume of a cube $V$ is given by the formula:

$V = a^3$

where $a$ is the edge length of the cube. To find $a$, we solve for $a$ by taking the cube root of $V$:

$a = \sqrt[3]{V}$

Given that $V = 216 \, \text{m}^3$, we calculate:

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

The cube root of 216 is $6$. Thus, the edge length of the cube is:

$a = 6 \, \text{m}$

Final Answer:

The edge length of the cube is 6 meters.

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Related Questions:

1. How do you calculate the surface area of a cube if the edge length is known?
2. What is the diagonal length of a cube with edge length 6 m?
3. If the edge length is doubled, how does the volume change?
4. What is the relationship between the volume and surface area of a cube?
5. How can you derive the formula for the cube root of a number geometrically?

Tip:

Always verify units and ensure consistency when solving problems involving measurements.