# Problem of the Week Problem D Caen’s Cubes

Caen has a cube with a volume of $$n \text{ cm}^3$$. They cut this cube into $$n$$ smaller cubes, each with a side length of $$1$$ cm. The total surface area of the $$n$$ smaller cubes is ten times the surface area of Caen’s original cube. Determine the side length of Caen’s original cube.