Question

A large cube is
painted on all six
faces and then cut
into
certain
number of smaller
but identical cubes.
It was found that
among the smaller
cubes, there were
eight cubes which
had no face painted
at all! How many
smaller cubes was
the original
original large
cube cut into?​

Answer 1

Answer:

All the corner cubes are three coloured painted.Hence there are 8 such cubes.

Answer 2

Answer:

64

Step-by-step explanation:

1st layer :-

All the cubes are painted .

No. Of unpainted cubes = 0

2nd layer :-

Only side cubes are painted , internal 4 cubes ( middle most ) are not painted .

No. Of unpainted cubes = 4

3rd layer:-

Same as layer 2

No. Of unpainted cubes= 4

4th layer:-

Same as layer 1 .

No unpainted cubes.

Total unpainted cubes= 8

Hope this answer helps .