A solid cube of side 12 cm has been painted red blue and black on pairs of opposite faces It

2nd layer- 16 cubes have no face painted.
3rd layer- 16 cubes have no face painted.
4th layer- 16 cubes have no face painted.
5th layer- 16 cubes have no face painted.
Total- 16+16+16+16 =64
9 years agoHelpfull: Yes(4) No(1)
if we cut the color side 2 cm of the cube form a cube side (12-(2+2))=8 cm
number of 2 cm side cube formed a cube of side 8 cm = (8*8*8)/(2*2*2)=64
ans=64
9 years agoHelpfull: Yes(1) No(0)
we have to cut 2 cm fro each side o the remaining dimesions are 8*8*8 which is =512
8 years agoHelpfull: Yes(1) No(0)
8 cubes , as we wil not consider 2cms from all the faces so remaining will be 4*4*4 now divide it by 2*2*2, so ans will be =8
9 years agoHelpfull: Yes(0) No(1)
no face painted= (l-2)*(b-2)*(h-2)= (6-2)(6-2)(6-2)= 64. Since, its a cube, l=b=h=6cm
8 years agoHelpfull: Yes(0) No(0)
answer is 64
solution is:-
there are 36 cubes in each layer of 2 cm each. toal 36* 6 layers=216 cubes
in 1st layer and 6th layer, all 36 cubes will be painted from all three sides(top, side and front)
so, 216-72=144 left cubes now
now, out of 144, in each layer(2nd,3rd, 4th,5th), 20 outside cubes of each layer, are painted. so,
20*4(2nd, 3rd, 4th, 5th)= 80 cubes are still painted(side view and front view of each cube.)
so, remaining cubes are 144- 80=64 cubes are still not painted.
7 years agoHelpfull: Yes(0) No(0)
(N-2)^3
N=6
64
6 years agoHelpfull: Yes(0) No(0)

A solid cube of side 12 cm has been painted red, blue and black on pairs of opposite faces. It is then cut into cubical blocks of
each side 2 cm.
21.How many cubes have no face painted?