1. The problem states that the volume of a cube is 125 cm\(^3\). We need to find its total surface area. 2. Recall the formulas: - Volume of a cube: $$V = s^3$$ where $$s$$ is the side length. - Surface area of a cube: $$A = 6s^2$$. 3. Given $$V = 125$$, solve for $$s$$: $$s^3 = 125$$ $$s = \sqrt[3]{125} = 5$$ cm. 4. Now calculate the surface area: $$A = 6s^2 = 6 \times 5^2 = 6 \times 25 = 150$$ cm\(^2\). 5. Therefore, the total surface area of the cube is $$150$$ cm\(^2\).