A large cube is painted on all sides with Red color. It is then cut into 27 small cubes.
How many sides of the cube will have...
a) 3 red faces.
b) 2 red faces.
c) 1 red face.
d) No red faces.

• 3*3*3=27
  ans:
  a) 1*8=8 (1 small cube at each corner)
  b) 1*12=12 (1 small cube at each edge)
  c) 1*6=6 (1 small cube at each face)
  d) 27-(8+12+6)=1
  
• 13 years agoHelpfull: Yes(12) No(3)
• A) 3 red faces
• 13 years agoHelpfull: Yes(0) No(2)
• 3red:8 all corners
  2red:12
  1red:6
  no red:1(center)
• 13 years agoHelpfull: Yes(0) No(0)
• a) 8
  b) 12
  c) 6
  d) 1
• 13 years agoHelpfull: Yes(0) No(0)
• dividing the cube into 27 equal parts..=> side must be 3
  Formula for these stuff is,
  Colored on three faces = No of corners = 8
  Colored on two faces = (n-2)*no of edges = 12(n-2)
  Colored on one face = (n-2)^2 * no of surfaces = 6(n-2)^2
  Colored on none = (n-2)^3
  ...So in the above question n=3..
  Answers are, 8,12,6,1 respectively..
• 10 years agoHelpfull: Yes(0) No(0)