Question

A cuboid of dimensions $(6cm\times 4cm\times 1cm)$ is painted black on both the surfaces of dimensions $(4cm\times 1cm)$, green on the surfaces of dimensions $(6cm\times 4cm)$ and red on the surfaces of dimensons $(6cm\times 1cm)$. Now the block is divided into various smaller cubes of side $1cm$ each. The smaller cubes so obtained are separated. How many cubes will be formed ?

• A. $6$
• B. $12$
• C. $16$
• D. $24$

Answer 1

The correct option is D $24$

Number of smaller cubes formed
$=\frac{VolumeofCuboid}{Volumeofsmallercube}$
$=\frac{6\times 4\times 1}{1^3}=24$.