A wooden cube n units on a side is painted red on all six faces and then cut into n3 unit cubes.
Exactly one-fourth of the total number of faces of the unit cubes are red.
What is n ?
Solution to the Problem:
The answer is n = 4
Since there are n3 unit cubes and each cube has six faces, the total number of faces is 6 n3.
There are 6 n2 faces that are painted red.
So, (1/4) (6 n3) = 6 n2
6 n3 = 24 n2
n = 4.
Correctly solved by:
1. K. Sengupta | Calcutta, INDIA |
2. Rob Miles | Northbrook, Illinois, USA |
3. Sudhir Bavdekar | Mumbai, India |
4. Seth Cohen | Concord, New Hampshire, USA |
5. Carlos de Armas | Barcelona City, Spain |
6. Dr. Hari Kishan |
D.N. College, Meerut, Uttar Pradesh, India |
7. Colin (Yowie) Bowey | Beechworth, Victoria, Australia |
8. Kamal Lohia | Hisar, Haryana, India |
9. Kelly Stubblefield | Mobile, Alabama, USA |