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 a least two faces coloured ?  [#9]

A
32
B
10
C
28
D
16

Solution

## The correct option is D $$16$$Take a 4x4x4 cube Paint Blue on bottom and red on top.Red on left side and green on backRef figure.cubes having at least two faces coloured are in row1 & row 4 of column a, e, i, m, n, o, p = 2 x 7 = 14cubes having at least two faces coloured are in row2 & row 3 of column m = 2 x 1 = 2total cubes having at least two faces coloured = 14 + 2 = 16Mathematics

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