A big cube painted red on all the sides. It was cut into 27 smaller cubes by 6 straight lines. How many of the smaller cubes painted on all 3 sides, on 2 sides, on 1 side and no faces painted?

• as 27 small cubes to be of same volume then
  A(side of big cube) = 3*a(side of small cude)
  so we can take side of small cubes to be 1 cm , then side of big cube = 3cm, and volume becomes 27cm cube.
  then taking a cube of 27cm cube the first dividing it into 3parts(with three straight lines) with three lines and then dividing into again into three part with three line each producing 9 parts, 27 parts at total.
  NOW
  1)SIDES WITH 3 SIDES PAINTED IS PRODUCED BE 8 CORNERS. SO ANSWER FOR FIRST IS 8
  SIMILARLY PROCCEDING WE WILL GET--12,6,1 as answer.
• 13 years agoHelpfull: Yes(22) No(6)
• The Cube is cut 3 times horizontally and 3 times vertically to get 27 cubes
  so n=3
  no of smaller cubes with 3 sides painted= 8 always
  no of smaller cubes with 2 sides painted= 12*(n-2)--->12*(3-2)= 12
  no of smaller cubes with 1 side painted= 6*(n-2)^2--->6*(3-2)^2= 6
  no of smaller cubes with no sides painted= (n-2)^3=1
  
  So, answer is 8,12,6,1
• 8 years agoHelpfull: Yes(9) No(1)
• pls suggest from where i can study for this cube paint problems.I don't know how to solve this.my mailid sreeparnadey2008@gmail.com.pls help me how to prepare for infosys
• 10 years agoHelpfull: Yes(2) No(3)
• 3 sides= 8
  2 sides= 8
  1 sides= 6
  0 sides= 1
• 13 years agoHelpfull: Yes(0) No(24)
• please send the link where i can find problems on cubes.......
• 9 years agoHelpfull: Yes(0) No(1)
• 27=3^3
  3sides so corners=8
  2sides so edges=12
  1side faces=6
  no faces=1
• 8 years agoHelpfull: Yes(0) No(0)
• 27=3^3
  3sides so corners=8
  2sides so edges=12
  1side faces=6
• 8 years agoHelpfull: Yes(0) No(0)