to form a cube and find the formula for its surface area experimentally

Let a cube ABCDEFGH is given

 

 

Then the net of the cube consist of 6 small squares and could be represented as :

 

 

Let the side of the cube is a.

∴ Surface area of 1 square = a × a = a2

Hence, total surface area of cube = Surface area of 6 squares =  6 × a2 = 6a2

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