A cube is painted with 3 colours such that each colour is applied on 2 faces. If red colour is found on adjacent faces, the maximum number of edges that will be shared by 2 different coloured faces is:
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The maximum number of edges that will be shared by 2 different colored faces is 9.
- A cube is a 3D shape having 6 faces and 12 edges.
- If two adjacent faces are painted red, 4 faces remain unpainted.
- To get the maximum number of edges that will be shared by 2 different colored faces the remaining two colors should be painted on the opposite walls.
- In such a cube, only 3 out of 12 edges (1 for each color) will lie between the same colored faces.
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