1. **State the problem:** We are given the volume of a cube as 5832 cubic units and need to find the edge length. 2. **Formula:** The volume $V$ of a cube with edge length $s$ is given by: $$V = s^3$$ 3. **Apply the formula:** Substitute $V = 5832$: $$s^3 = 5832$$ 4. **Solve for $s$:** Take the cube root of both sides: $$s = \sqrt[3]{5832}$$ 5. **Calculate the cube root:** Since $18^3 = 5832$, we have: $$s = 18$$ 6. **Answer:** The edge length of the cube is 18 units.