All faces of a cube with an 8medge are painted. When the cube is cut into two smaller cubes with 2m edge how many of the 2m cubes have paint on exactly one face?

• when 8m cube is cutted into 2m cubes then each surface gives 4 cubes of exactly one face printed.
  and cube has 6 faces then
  no. of smaller cubes of exactly one face painted = 6*4 = 24
• 10 years agoHelpfull: Yes(30) No(0)
• Formula for finding exactly one face painted in cube is
  6(n-2)^2
  So that 4 cubes are lies on edge when cutting 2m edged cube from 8m edge
  
  6(4-2)^2=24
• 10 years agoHelpfull: Yes(8) No(1)
• Cutting the cube into smaller cubes of 2m edge,leaves 4 one faced color cubes.
  so on 6 side there will be total 24 cubes with only single face colored.
  
• 10 years agoHelpfull: Yes(3) No(0)
• When an 8m cube is cut into 2m cubes,there will be 4^3 = 64 cubes.
  Out of this,(2*2)*6 = 24 cubes would be painted exactly on one face.
  The reason is that,taking any square face,of the big cube and imagining that it
  constitutes of 4*4 = 16 squares,except those outer squares,rest will be
  painted exactly on one face,ie. each face has 2*2=4 such cubes.
  So in total,there would be 6*4 = 24 such cubes.
• 10 years agoHelpfull: Yes(3) No(1)
• 4 on each face so total= 24
• 10 years agoHelpfull: Yes(3) No(0)
• Only the CENTER four faces on each side will have a Single colour..
  therefore 6*4=24.
  
• 10 years agoHelpfull: Yes(2) No(0)
• Ans=24;
  we know that all faces in cube are 6 ;
  Here only 1 face painted are 4 on each face;
  so total =6*4 = 24 ;
  
• 10 years agoHelpfull: Yes(1) No(0)
• each edge of a cube would be having 16 small cube faces....of these 16 faces located at boundaries (12 such) would have more than 1 faces painted......this leaves us with 4 faces....and a cube has 6 edges so total nos of facees = 6*4=24
• 10 years agoHelpfull: Yes(0) No(0)