All the faces of cubes are painted with red colour.It is then cut into 64 equal small cubes.Find How many small cubes have no faces coloured ?
Choose the correct choice from the following choices
A) 24
B) 8
C) 16
D) 0
E) 4

Rationale: "there are 64 small cubes , hence one side side of the big cube is 3 √ 64 = 4 cm number of small cubes having only one faces coloured = ( x - 2 ) ^ 3 here , x = side of big cube / side of small cube x = 4 / 1 x = 4 required number = ( 4 - 2 ) ^ 3 = 8 answer : b"
Answer: B