A cube painted red on two adjecent faces and black on the faces opposite to the red faces and green on the remaining faces is cut into sixty-four smaller cubes of equal size.How many cubes are there which have no face painted?

• don't make ur answer so complex... it's just (n-2)^3
  here n=4 bcoz it has 64 smaller cubes...
  so ans is (4-2)^3= 2^3= 8
• 13 years agoHelpfull: Yes(56) No(13)
• 8 cubes will be there which r not painted...
  
  If a painted cube is cut into 64 (4^3) smaller cubes then there will be
  i. smaller cubes with three face painted (cubes at the corner)= 8
  ii.smaller cubes with two face painted (cubes at the edges)= (4-2)*12= 24
  iii.smaller cubes with one face painted (cubes at the faces)= ((4-2)^2)*6=24
  iv.smaller cubes not painted = 64-(8+24+24)= 8
• 13 years agoHelpfull: Yes(40) No(12)
• 8 cubes are there which hav no face painted
  
  cube is cut in 64(4^4) small cubes(4 rows of 4 columns each)
  inner cubes(2,3 rows 2,3 columns) sre not painted.....
• 13 years agoHelpfull: Yes(18) No(4)
• side of colored cube is 4 unit due to cube root of 64
  the side of inner cube will be 4-2=2 units that are not painted so no. of cubes are 2^3 = 8(unpainted)
• 13 years agoHelpfull: Yes(15) No(8)
• 5 mints=>2 secret known by=2ppl
  10 mints=>2to4 (2+4) =6ppl
  15 mints=>6to12 (6+12) =18ppl
  20mints=>18to36 (18+36) =54ppl
  25 mints=>54to108 (54+108) =162ppl
  30 mints=>162to324 (162+324) =486ppl
  35mints=>486to 972 (486+972) = 1458 ppl
  so ans is 35mins
• 9 years agoHelpfull: Yes(10) No(4)
• (n-2)^3=(4-2)^3=8
  
• 8 years agoHelpfull: Yes(1) No(0)
• 8 cubes have 3 face painted, 24 cubes have 2 face painted, 24 cubes have 1 face painted, so, remaining 8 cubes have no face painted
• 8 years agoHelpfull: Yes(0) No(0)