Question

A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cubic centimetre cubes, how many 1 cubic centimetre cubes will have exactly one of the

(a) 27 (b) 42 (c) 54 (d) 142

Answer 1

The correct answer is option (c) 54

Explanation:

Given: The cube side = 5 cm

The side of cube 5 cm is cut into 5 equal parts, in which each of 1 cm

Therefore, the total number of cubes of side 1 cm = 25 + 25 + 25 + 25 + 25 = 125

In one face of cube, there are total of 9 small cubes painted.

We know that, there are 6 faces in cube.

Thus, total of 9 x 6 faces will have one face painted.

(i.e.) 54