A cube is cut into 216 parts. the 2nd 4th n 6th layers of the front face r removed n den painted
black. Now answer d following questions.
1) How many cubes r painted on only one side?
2) How many cubes r painted on only 2 sides?
3) How many cubes r painted on only 3 sides?
4) How many cubes r painted on only 4 sides?
5) How many cubes r painted 0 sides?

• No. of cubes=(sides)^3
  then,216=(sides)^3
  sides=6
  In cube total six face but in ques 3 face r removed then only 3 face r there.
  no of cubes painted only one side=(x-2)^2* no. of faces
  =(6-2)^2*3
  =48
  no of cubes painted only 2 sides=(x-2)*no. of edges
  =4*12
  =48
  no of cubes painted only 3 sides=8 always
  because there are 8 corner in cubes
  no.of cubes painted 0 sides=(x-2)^3
  =4^3=64
  
  but in 4 sides i dont know.
  
  
  
• 11 years agoHelpfull: Yes(19) No(2)
• let n be the sides
  216 =n^3
  6^3=n^3
  so n=6
  and friends these are the direct formula to know number of sides painted
  o sides painted--->(n-2)^3
  1 side painted---> 6(n-2)^2
  2 sides painted--->12(n-2)
  3 sides painted--->8
  for 4 sides i dont know ..
  
• 11 years agoHelpfull: Yes(7) No(3)
• 1.96
  2.48
  3.8
  4.0
  5.64
• 11 years agoHelpfull: Yes(6) No(2)
• 1. 2[4+4+16]=48
  2. 2[16+2]=36
  3. 8
  4. 0
  5. 16
• 11 years agoHelpfull: Yes(5) No(4)
• 1.96
  2.48
  3.8
  4.0
  5.64
• 11 years agoHelpfull: Yes(4) No(1)
• 1=80
  2=24
  3=4
  4=0
  5=108
• 11 years agoHelpfull: Yes(1) No(1)
• 1 ans 68=12+12+16+16+12
• 11 years agoHelpfull: Yes(0) No(1)
• consider tht layers are painted after removal of the layers in between them..
  1)0
  2)48
  3)48
  4)12
  5)0
• 11 years agoHelpfull: Yes(0) No(1)
• pls tell the correct answer ... @moumitabhakat is the formulae and the ans ryt??..just let me know thnku
• 11 years agoHelpfull: Yes(0) No(1)
• 1.0
  2.48
  3.48
  4.12
  5.108
  
• 10 years agoHelpfull: Yes(0) No(1)
• 2faces painted=4x12=48
  3faces painted=8
  1face painted=16x6=96
  0face painted=total edge-(sum of all side painted) =216-(8+48+96)=64
• 6 years agoHelpfull: Yes(0) No(0)