The minimum number of colours required to paint all sides of a cube such that no two adjacent faces have the same colour is:

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A cube has **6 faces**, and each face is adjacent to **4 other faces**. To ensure no two adjacent faces have the same colour:  
1. Opposite faces can be painted with the same colour, as they are not adjacent.  
2. A cube has **3 pairs of opposite faces**, meaning we can use **3 different colours** to paint the cube while satisfying the condition.

Thus, the minimum number of colours required to paint all sides of the cube is **3**, which corresponds to option **(c)**.

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