Question

A cube of side 6 cm is painted on all its 6 faces with red colour. It is then broken up into 216 smaller

identical  cubes. What is  the  ratio  of  N 0  :  N 1  :  N 2 . Where,

N 0 = number of smaller cubes with no  coloured surface.

N 1 = number of smaller cubes with 1 red face.

N 2 = number of smaller cubes with 2 red faces.​

Answer 1

Answer:

number of cubes its cut=6*6*6/(1*1*1)=216

=216 cubes

All the cubes across edge line will have cubes two or three faces painted

three are 12 edges

each edge will have 4 cubes+2 cubes sharing with three edges.

cubes with there face painted=12*2/3=8

So no. of cubes with atleast two face painted=48+8=56

56 cubes will have at least two faces painted