Calculate the Edge Length of a Cube with Volume 512 cm³

To determine the length of one edge of a cube with a volume of 512 cm³, we follow these steps:

• Step 1: Understand the relationship between volume and edge length for a cube. The volume $V$ is given by the formula $V = s^3$, where $s$ is the edge length.
• Step 2: Replace the volume in the formula with the given value: $512 = s^3$.
• Step 3: To find $s$, take the cube root of both sides of the equation: $s = \sqrt[3]{512}$.
• Step 4: Calculate the cube root of 512. Factoring 512, we find $512 = 8 \times 8 \times 8$, so $\sqrt[3]{512} = 8$.

Thus, the length of each edge of the cube is $8$ cm.