cube is coloured pink on 1face and orange on opposite
cube is coloured pink on 1face and orange on opposite.brown on ane face and silver on adjacent to brown.cut into 125 small cubes. how many cubes have all the faces uncoloured?
Total 36 faces are uncoloured
12 each from the two sides that are not coloured (25-13) as in 13 cubes atleast one will be coloured = (25-13)*2 = 24
Then 12 from the cubes that are within the cube as they cannout be painted (5-1)*(5-2) = 4*3 = 12
So total cubes uncoloured = 36 CUBES
ans : 27
(solution :
formula for faces uncoloured = (n-2)^3
cube root of 125(n) = 5
no face coloured = (5-2)^3 =27)
60
The given problem is 5*5*5 cube whichhas total 125 cubes when cut.
All faces are not colured here only 3 faces will be coloured and total 3 faces are 8 which are nothing but corners of a cube.
