A cube of 12 mm is painted on all its side. If it is made up of small cubes of size 3mm. If the big cube is splitted into those small cubes, the number of cubes that remain unpainted is

• n by n by n cubes (n>1) :
  
  Corner cubes:
  8 little cubes are painted on 3 sides.
  
  Edge cubes:
  12(n - 2) little cubes are painted on 2 sides.
  
  Face cubes:
  6(n - 2)^2 little cubes are painted on 1 side.
  
  "Inside" cubes:
  (n - 2)^3 little cubes have no paint ; (4 - 2)^3 = 8
• 12 years agoHelpfull: Yes(9) No(6)
• 4 cubes remain unpainted
• 9 years agoHelpfull: Yes(0) No(2)
• 4 cubes are not yet painted.
• 9 years agoHelpfull: Yes(0) No(2)