Question:
A 4 cm cube is cut into 1 cm cubes. Calculate the total surface area of all the small cubes.
Solution:
Edge of the cube (a) = 4 cm
Volume of the cube $=a^{3}$
$a=4^{3}$
$=64 \mathrm{~cm}^{3}$
Edge of the cube $=1 \mathrm{~cm}^{3}$
Therefore, Total number of small cubes $=64 \mathrm{~cm}^{3} / 1 \mathrm{~cm}^{3}=64$
Therefore, Total Surface area of all the cubes $=64 * 6 * 1=384 \mathrm{~cm}^{2}$