Question

A cube is painted with green colour on its five faces. If this cube is cut into 125 small cubes, how many small cubes will have no face coloured?​

a.31 b. 36
c.35 d. 41

Answer 1

Option b. 36

Step-by-step explanation:

A cube is painted with green colour on its five faces.

This cube is cut into 125 small cubes.

There are 5 × 5 cubes in each sides.

Top layer colored cubes = 25

Last layer colored cubes = 25

Left layer colored cubes = 15 (because top 5 and bottom 5 has been already taken in previous counts.)

Right layer colored cubes = 15

Back layer colored cubes = 9 ( 3×3)

Remaining no face colored cubes = 125 -(25 + 25 + 15 + 15 + 9)

                                                         = 125 - 89

                                                         = 36

Option b. 36 cubes will have no face coloured.

Learn more about the problem of colored faces of a cube : https://brainly.in/question/14070466