Question

The outer surface of a 4 cm x 4 cm x 4 cm cube is painted completely in red. It is sliced parallel to the faces to yield sixty four 1 cm x 1 cm x 1 cm small cubes. How many small cubes do not have painted faces?

Answer 1

first tell me their formula

Answer 2

Answer:

Only 8 cubes will left without any paint on any face.

Step-by-step explanation:

Given : The outer surface of a 4 cm x 4 cm x 4 cm cube is painted completely in red. It is sliced parallel to the faces to yield sixty four 1 cm x 1 cm x 1 cm small cubes.

To find : How many small cubes do not have painted faces?

Solution :

Number of cubes on outer surface in center is $6\times 4 = 24$

Number of cubes on outer surface at edge center is $12\times 2= 24$

Number of cubes on outer surface on corners is 8

Remaining cubes = 64-24-24-8=8

Only 8 cubes will left without any paint on any face.