How many cubes each of surface area $24c{m}^2$ can be made out of a cube of edge measure $1m$?

The correct option is B: $125000$

Given: Total surface area of a cube of edge, $a=24c{m}^2$

We know that total surface area of a cube is $6a^2.$

So, $6a^2=24$

$\Rightarrow a^2=4$
$\Rightarrow a=2cm$

Volume of a big cube whose edge is $1m\left(100cm\right)=(100{)}^3$
Number of small cubes formed made out of big cube

$=\frac{\text{Volume of cube of side 1 m or 100 cm}}{\text{Volume of one cube of side 2 cm}}$

$=\frac{100\times 100\times 100}{2\times 2\times 2}$

$=125000$