Answer :
Answer:
27 faces have no face colored
Step-by-step explanation:
Divide the cube into 125 parts . This can be done by dividing the length,breadth and height of the cube in 5 equal parts each.
A cube painted green on all faces, is divided into 125 small cubes. l x bx h = 125
L= 5, B = 5 , H = 5
A cube has 6 faces
Let A & B be 1st pair of opposite lateral faces
C & D be 2nd pair of opposite lateral faces
E be Top face
F be bottom face
Now we find out the total number of colored faces =
Face A contains = 25 cubes ( l x h = 5x5)
Face B contains= 25 cubes( l x h = 5x5)
Face C contains = 15 cubes( b x h = 3 x5)
Face D contains =15 cubes( b xh= 3x5)
Face E contains= 9 cubes ( l x b= 3x3)
Face F contains = 9 cubes ( l x b= 3x3)
So total number of painted faces = 25+25+15+15+9+9= 98 cubes
The number of cubes not painted on any of the faces = 125 — 98 = 27