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Surface Area of a cube is equal to the sum of the area of it sides.

Each of its sides are square of side length a.

Each side has area of a2.

There are 6 sides on a cube.

a2 + a2+ a2+ a2+ a2+ a2 = 6a2

Therefore: Surface area of a cube is 6a2

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Q: What is the derivation of the formulae of the surface area of a cube?
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There is no single formula for a cube. There are different formulae for its surface area, its volume, and so on.


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