Question

Question No. 1
Direction A cube is painted red on all of its faces and then cut into 216 small cubes of equal size. Now answer the following question.
The total number of small cubes which are painted red exactly on three surfaces is____​

Answer 1

Step-by-step explanation:

Given Direction A cube is painted red on all of its faces and then cut into 216 small cubes of equal size. Now answer the following question.  The total number of small cubes which are painted red exactly on three surfaces is

• A cube has 8 vertex.
• cube of 216 will be = 6^3 = 6 x 6 x 6
• Three faces painted = 8
• Exactly 3 faces painted is 8
• Exactly 2 faces painted will be 12 x (6 – 2) = 12 x 4 = 48
• Exactly 1 face painted will be 6 x (6 – 2) (6 – 2)  
•                                             = 6 x 4 x 4
•                                             = 96
• No face painted = (6 – 2)^3
•                             = 4^3
•                             = 64

Reference link will be

https://brainly.in/question/21684311