Calculate Cube Edge Length: Given Volume of 8 Cubic Centimeters

To find the length of an edge of the cube given its volume, we'll proceed with the following steps:

• Step 1: Identify the volume of the cube.
• Step 2: Use the formula for the volume of a cube to find the edge length.
• Step 3: Calculate the cube root of the volume.

Step 1: The volume of the cube is given as $8$ cm$^3$.

Step 2: We use the formula for the volume of a cube:
$V = a^3$,
where $V$ is the volume and $a$ is the length of the edge.

Step 3: To find the edge length $a$, we need to take the cube root of the volume:
$a = \sqrt[3]{V} = \sqrt[3]{8}$

Calculating the cube root, we find:
$a = 2$

Therefore, the length of the edge of the cube is $2$ cm.