1. **State the problem:** We have a cube A with edge length $x$ cm and volume 216 cm³. We need to find the value of $x$. 2. **Formula for volume of a cube:** The volume $V$ of a cube with edge length $x$ is given by $$V = x^3$$ 3. **Apply the given volume:** We know $$x^3 = 216$$ 4. **Solve for $x$:** To find $x$, take the cube root of both sides: $$x = \sqrt[3]{216}$$ 5. **Calculate cube root:** Since $216 = 6^3$, we have $$x = 6$$ 6. **Answer:** The edge length of cube A is $6$ cm.