14. A cube with an edge length of $n$ was cut into cubes, each with an edge length of 1. The total volume of the resulting cubes will obviously remain the same, but the surface area will undoubtedly increase. By what factor?
14. As a result of cutting, we get $n \cdot n \cdot n$ cubes. The surface area of the original cube is $6 n \cdot n$, the surface area of each resulting cube is 6, and the total surface area of all such cubes is $6 n \cdot n \cdot n$. Therefore, the surface area increases by $n$ times.