Question

What is the least number of different colours needed to paint a cube so no adjacent faces have the same colour?

Answer 1

hint:

a cube has SIX faces

does that help?

Answer 2

so six colours?

Answer 3

no,less than that

Answer 4

well not necessarily

Answer 5

six is the greatest

Answer 6

The top and he bottom could be painted the same colour though

Answer 7

so that brings it down to five...

Answer 8

Three - because you have a metting

Answer 9

Then you paint the left and the right the same colour.

Answer 10

Of three faces at EACH corner ==> Atleast 3

Answer 11

let's try an example



in my example you have red on the front and back; yellow on the sides; orange on top and bottom