The volume of a cube is given by the formula:

$V = s^3$

where $s$ is the side length of the cube.

You're given that the volume of the cube is $64^3$, so we can set up the equation:

$64^3 = s^3$

To find the side length $s$, take the cube root of both sides:

$s = \sqrt[3]{64^3}$

Since $64^3$ is the volume, the cube root of $64^3$ is just 64.

Thus, the side length of the cube is:

$s = 64$

So, the side length of the cube is 64 units.

Would you like any further clarification or details?

5 Related Questions:

1. How do you calculate the volume of a cube from the side length?
2. What is the cube root of a number, and how is it used in geometry?
3. If the side length of a cube is 100 units, what would the volume be?
4. How can you solve for the side length of a cube if you are given its volume in a different power, like $2^6$?
5. What is the relationship between the surface area and the side length of a cube?

Tip:

When working with volumes and cubes, always remember that the volume is the side length raised to the third power! This property is essential for quick calculations.