A cuboid of dimensions (6 cm `xx` 4 cm `xx` 1 cm) is painted black on both the surfaces of dimensions (4 cm `xx` 1cm), green on the surfaces of dimensions (6 cm `xx` 4 cm) and red on the surfaces of dimen~1ons `(6 cm xx 1 cm)`. Now, the block is divided into various smaller cubes of side 1 cm each. The smaller cubes, so obtained are separated.
How many cubes will have all three colours black, green and red each atlest on one side ?

Options

A. 16
B. 12
C. 10
D. 8

Answer

A

Explanation

All the sixteen cubes there on the boundary of this block will have all three colours each, atleast on one side.