Question

A cube whose two adjacent faces are coloured is cut into 64 identical small cubes.How many of these small cubes are not coloured at all

Answer 1

There are 8 cubes which are not coloured

because u just see that there are 8 cubes of corner which are 3 sided coloured

and 24 cubes which are 2 sided coloured

and 24 cubes which are 1 sided coloured

so

total cubes=64

coloured=8+24+24=56cubes

non coloured=64-56=8cubes