Calculate the Volume of a Cube with 3 cm Edges: Step-by-Step Solution

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information.
• Step 2: Apply the appropriate formula for volume.
• Step 3: Perform the necessary calculations.

Now, let's work through each step:
Step 1: The problem states that each edge of the cube is 3 cm long.
Step 2: We use the formula for the volume of a cube: $V = s^3$, where $s$ is the side length.
Step 3: Substituting the side length into the formula gives us $V = 3^3$. Calculating this, we have:

$3^3 = 3 \times 3 \times 3 = 27$.

Therefore, the volume of the cube is $27$ cm³.

Given the answer choices, the correct choice is $\textbf{27 cm³}$.