1. **State the problem:** Calculate the volume of a cube with each edge measuring 5 inches. 2. **Formula:** The volume $V$ of a cube with edge length $s$ is given by: $$V = s^3$$ 3. **Apply the formula:** Here, $s = 5$ inches. 4. **Calculate:** $$V = 5^3 = 5 \times 5 \times 5$$ 5. **Simplify:** $$V = 125$$ 6. **Interpretation:** The volume of the cube is 125 cubic inches. **Final answer:** $$\boxed{125 \text{ cubic inches}}$$