Question

A pair of opposite faces of a cube is painted red another pair of opposite faces blue and the remaining faces green. The cube is then cut in to 64 smaller but identical cubes. How many of the smaller cubes have only green and blue on them?8162436

Answer 1

hope it will help you....

Answer 2

Answer: 16

Step-by-step explanation:

Given: A pair of opposite faces of a cube is painted red another pair of opposite faces blue and the remaining faces green.

Therefore, there must be 4 corners such that one side is green and the other is blue....(1)

Since, the cube is then cut in to 64 smaller but identical cubes, then each side must be divided into 4 sections [because $4^3=64$]..................(2)

From (1) and (2)

The number of smaller cubes have only green and blue on them=

$4*4=16$