1. **State the problem:** We need to find the total surface area of a cube with side length 19 cm, which represents the amount of wrapping paper used. 2. **Formula:** The surface area $A$ of a cube with side length $s$ is given by: $$A = 6s^2$$ This is because a cube has 6 faces, each a square with area $s^2$. 3. **Calculate the area of one face:** $$s^2 = 19^2 = 361$$ 4. **Calculate total surface area:** $$A = 6 \times 361 = 2166$$ 5. **Interpretation:** The total wrapping paper used is the surface area of the cube, which is $2166$ square centimeters. **Final answer:** $$\boxed{2166}$$ square centimeters