Question:
A cube is to be coloured in such a way as to avoid the same colour on adjacent surfaces. What is the minimum number of colours you will require ?
A cube is to be coloured in such a way as to avoid the same colour on adjacent surfaces. What is the minimum number of colours you will require ?
Updated On: Sep 25, 2024
- Four
- Three
- Six
- Nine
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The Correct Option is B
Solution and Explanation
The correct option is (B): Three
Explanation To color a cube such that no two adjacent faces share the same color, you can achieve this with a minimum of three colors. This is because a cube can be thought of as a planar graph, and according to the four color theorem, three colors are sufficient for the cube as each face can be colored in a way that no two adjacent faces have the same color.
Explanation To color a cube such that no two adjacent faces share the same color, you can achieve this with a minimum of three colors. This is because a cube can be thought of as a planar graph, and according to the four color theorem, three colors are sufficient for the cube as each face can be colored in a way that no two adjacent faces have the same color.
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