Algebra painted cube 5x5x5 cube

A 5x5x5 cube consists of 125 smaller unit cubes. When painted on the outside, the cubes on the surface are affected, while those entirely inside remain unpainted. To find the number of painted and unpainted cubes, you can calculate the number of cubes on the surface and subtract the volume of the inner 3x3x3 cube (which contains 27 unit cubes) from the total. Thus, the painted cubes are 125 - 27 = 98, while the unpainted cubes remain 27.