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

$V = s^3$

where $s$ is the length of the side of the cube. Given that the volume is $729 \, \text{m}^3$, we can solve for $s$ by taking the cube root of 729:

$s = \sqrt[3]{729} = 9 \, \text{m}$

So, the length of each side of the cube is $9 \, \text{m}$.

Would you like more details or have any questions?

Here are 5 related questions:

1. What is the surface area of a cube with a side length of 9 m?
2. If the side length is doubled, what will be the new volume of the cube?
3. How would the side length change if the volume were 1,000 $\text{m}^3$?
4. What is the total edge length of the cube?
5. How does the volume of a cube change as its side length triples?

Tip: The volume of a cube increases very quickly with even small increases in side length since it is proportional to the cube of the side length.