Fill in the blanks to make the correct statement.
A cube of side 4cm is painted on all its sides. If it is sliced in 1 cubic cm cubes, then number of such cubes will have exactly two of their faces painted is __________.

Question

Philoid · Accepted Answer

The volume of a cube of side 4cm = 4 × 44 = 64cm³ when it is sliced into 1cm³ cubes, we will get 64small cubes.

In each side of the larger cube, the smaller cubes in the edges will have more than one face painted.

The cube which are situated at the corner of big cube, have three faces painted.

So, to each edge two small cubes are left which have two faces painted. As,the total numbers of edges in a cubes are 12.

Hence, the number of small cubes with two faces painted = 12 × 2 = 24.

Fill in the blanks to make the correct statement.A cube of side 4cm is painted on all its sides. If it is sliced in 1 cubic cm cubes, then number of such cubes will have exactly two of their faces painted is __________.