Calculate Cube Edge Length: Finding Side Measurement from 1 cm³ Volume

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

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

Now, let's work through each step:

Step 1: The volume of a cube is given by the formula $V = a^3$, where $a$ is the edge length.

Step 2: We are given the volume $V = 1 \, \text{cm}^3$. Therefore, we have $1 = a^3$.

Step 3: To find $a$, we take the cube root of both sides of the equation:

$a = \sqrt[3]{1} = 1 \, \text{cm}$.

Thus, the edge length of the cube is $\mathbf{1 \, \text{cm}}$.