Question

A cube of side 12 cm is painted on all sides. If it is then cut into equal smaller cubes of
side 3cm What will be the no of cubes with 3 sides painted ?
​

Answer 1

Answer:

18

Step-by-step explanation:

Volume of Cube =n×(Volume of small cubes)

So (12)

3

=n×3

3

n=64

One edge is divided into

3

12

=4 parts, hence each face will have 4×4=16 small cubes.

Now the number of cubes exposed on the faces will be painted. So 16 at front, 16 at back and 6 in each of the remaining 4 layers .

So the rest cubes left without getting painted is 64−16−16−24=8