All faces of 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?

• 4*6=24 is the ans
  
• 12 years agoHelpfull: Yes(26) No(25)
• side 1=4 center cubes( out of 16 cubs)
  side 2=4 center cubes( out of 16 cubs)
  side 3=4 center cubes( out of 16 cubs)
  side 4=4 center cubes( out of 16 cubs)
  side 5=4 center cubes( out of 16 cubs)
  side 6=4 center cubes( out of 16 cubs)
  
  totaly=4*6=24 cubs.
• 10 years agoHelpfull: Yes(16) No(0)
• i don't understand pls ans in details....
• 12 years agoHelpfull: Yes(8) No(4)
• There are 6 faces of cube. Imagine one face first. It is of length 8. It is now divided in length of 2. Thus, no. of cubes now is (8/2) is 4 horizontally. There are 4 cubes vertically as well. Thus, total cubes in one face are 4x4=16. But cubes along the sides are painted from other sides as well(Imagine!!) thus, only center 4 cubes are painted on one side. this is for one face... So for 6 faces it is 6x4=24.
• 9 years agoHelpfull: Yes(6) No(2)
• each edges having 16 cubes.
  4 out of 16 cube having paint on exactly one face.
  hence 6*4= 24 is the answer
• 10 years agoHelpfull: Yes(4) No(0)
• The edge of the cube=8
  Then it is cut into cubes of edge=2 i.e; 8/2=4 cubes per edge
  Now the question asked is no. of small cubes having paint on exactly one face
  4*4=16 no. of cubes from one side of the bigger cube satisfies the condition
  A cube has 4 sides so 16*4=64
  but 4 cubes from 4 corners will have two of their sides painted so no. of cubes with exactly one painted side=64-4=60
• 10 years agoHelpfull: Yes(2) No(9)
• If there are n cubes lie on an edge, then 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.
• 9 years agoHelpfull: Yes(2) No(1)
• in a 4x4x4 cube there are 24 blocks with one side painted
  in one face there are 4 blocks which are painted one side so for 6 faces (6x4)=24
• 10 years agoHelpfull: Yes(1) No(1)
• please explain how each edges having 16 cubes.and why 4 out of 16 cube having paint on exactly one face?
  
• 9 years agoHelpfull: Yes(1) No(1)
• If there are n cubes lie on an edge, then 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
• 6 years agoHelpfull: Yes(1) No(0)
• ans is 48
• 9 years agoHelpfull: Yes(0) No(4)