Question

# A cube is coloured blue on one face, yellow on the opposite face, red on another face and green on a face adjacent to the red face. The other two faces are left uncoloured. It is then cut into $$64$$ smaller cubes of equal size. How many cubes are have only one face coloured ?  [#9]

A
32
B
28
C
30
D
18

Solution

## The correct option is C $$30$$Take a 4x4x4 cube Paint Blue on bottom and red on top.Red on left side and green on backRef figure.cubes having only one face colour are in Row1 & Row 4 of column b, c, d, f, g, h, j, k, l = 2 x 9 = 18cubes having only one face colour are in Row2 & Row3 of column a, e , i, n, o, p = 2x6 = 12no of cube having only one face coloured = 18 + 12 = 30Mathematics

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