Calculate Cube Edge Length: Finding Side Length of a 27 cm³ Cube

To solve the problem of finding the length of the cube's edges, we begin with the formula for the volume of a cube, which is:

$V = a^3$

where $V$ is the volume and $a$ is the length of one edge of the cube.

Given that the volume $V$ is 27 cm$^3$, we can substitute it into the formula:

$27 = a^3$

To solve for $a$, we need to take the cube root of both sides of the equation:

$a = \sqrt[3]{27}$

Since 27 is a perfect cube (as $27 = 3^3$), the cube root of 27 is 3. Thus,

$a = 3$ cm

Therefore, the length of each edge of the cube is $\mathbf{3}$ cm.