A rectangular prism with dimensions 6×8×10 is composed of smaller unit cubes. Each unit cube is either fully painted or not painted at all. The painting of the unit cubes is such that no two adjacent unit cubes (horizontally, vertically, or depth-wise) have the same color (painted or unpainted). If the rectangular prism is cut into 2×2×2 smaller cubes, what is the maximum number of 2×2×2 cubes that can have at most one face with exactly two painted unit cubes?