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.

If cubes having only red as well as green colour are removed, then how many cubes will be left ?

• A. $4$
• B. $8$
• C. $16$
• D. $30$

Answer 1

The correct option is C $16$

Number of small cubes which are red and green is $8$ in all.

Hence, the number of remaining cubes are $=24-8=16.$