Question

A cuboid of dimensions (6 cm $\times$ 4 cm $\times$ 1 cm) is painted black on both the surfaces of dimensions (4 cm $\times$ 1 cm), green on the surfaces of dimensions (6 cm $\times$ 4 cm) and red on the surfaces of dimensions (6 cm $\times$ 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 two sides with green colour and remaining sides without any colour ?

• A. $12$
• B. $10$
• C. $8$
• D. $4$

Answer 1

The correct option is C $8$

There are $16$ small cubes attached to the outer walls of the cuboid.

Therefore, remaining inner small cubes will be the cubes having two sides green coloured and other sides without any color.

So the required number $=24-16=8.$