A $4\ cm$ cube is cut into $1\ cm$ cubes. Calculate the total surface area of all the small cubes.

Given:

A $4\ cm$ cube is cut into $1\ cm$ cubes.

To do:

We have to find the total surface area of all the small cubes.

Solution:

Length of the side of the cube $= 4\ cm$

By cutting it into $1\ cm$ cubes, we get,

$4 \times 4 \times 4 = 64$ cubes

Surface area of one cube $= 6 \times (1)^2$

$= 6 \times 1$

$=6\ cm^2$

Surface area of $64$ cubes $= 6 \times 64$

$= 384\ cm^2$