All faces of a cube with an eight - meter edge are painted red. If the cube is cut into smaller cubes with a two - meter edge, how many of the two meter cubes have paint on exactly one face?
(a) 24
(b) 36
(c) 60
(d) 48
05

• no. of cubes(2 metre)per face = 16 so each face has 12 parts which have faces shared with other lateral sides of cube i.e left over 2m cubes on each
  face = 16-12=4
  no. of faces = 6
  total 2m cubes with only one face painted = 4*6 =24
  
  I am a learner if u find this solution wrong. U can always correct me. Thanks in advance.
• 12 years agoHelpfull: Yes(17) No(4)
• on each side of the cube there remains 4 cube which are not shared by any other cube; since the cube has 6 sides, so total no of the cube which are painted exactly on a side is=>4x6=24
• 12 years agoHelpfull: Yes(6) No(0)
• length of cube=8 mts
  length of each small cube=2 mts
  now consider n=8/2=4
  so, total no.of small cubes=n^3=4^3=64
  no.of cubes have paint on exactly one cube=12(n-2)=12*2=24
• 12 years agoHelpfull: Yes(4) No(1)
• total number of cubes with one side painting is given by 6×(n−2)2. Here side of the bigger cube is 8, and small cube is 2. So there are 4 cubes lie on an edge. Hence answer = 24(n=4)
  
• 12 years agoHelpfull: Yes(1) No(0)