Question

A cuboid of dimensions (6 cm x 4 cm x 1 cm) is painted black on both the surfaces of dimensions (4 cm x 1 cm), green on the surfaces of dimensions (6 cm x 4 cm). and red on the surfaces of dimensions (6 cm x 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 black as well as green colour are removed then how many cubes will be left ?

• A. $4$
• B. $8$
• C. $16$
• D. $30$

Answer 1

Answer: (C)

$16$

Number of small cubes having only Black and Green colour is 8 in all.
Hence, the number of remaining cubes are $=24-8=16$.

Hence, option C is correct.