Calculate Cube Side Length: Finding Edge Length for 27 cm³ Volume

To solve for the side length of a cube with a volume of 27 cm³, we will apply the formula for the volume of a cube:

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

$V = a^3$

where $V$ is the volume, and $a$ is the length of each side.

Given $V = 27$ cm³, we can solve for $a$ by taking the cube root of the volume:

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

Substituting the given volume, we have:

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

Calculating the cube root, we find:

$a = 3$

Thus, the length of each side of the cube is $3$ cm.