1. The problem states: "Total surface area of a cube is 1350 sq. m. Find its volume." 2. Recall that the total surface area $A$ of a cube with side length $s$ is given by the formula: $$A = 6s^2$$ 3. Substitute the given surface area value: $$1350 = 6s^2$$ 4. Solve for $s^2$: $$s^2 = \frac{1350}{6} = 225$$ 5. Find the side length $s$ by taking the square root: $$s = \sqrt{225} = 15 \text{ meters}$$ 6. The volume $V$ of a cube is given by: $$V = s^3$$ 7. Calculate the volume using $s = 15$: $$V = 15^3 = 3375 \text{ cubic meters}$$ 8. Therefore, the volume of the cube is 3375 cubic meters.