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Question

Each face of a cube has perimeter equal to $$32$$ cm. Find its surface area 


Solution

The faces of a cube are squares. 

Let the side of the square or the cube $$ = a $$ cm

Perimeter of the square $$ = 4a = 32 $$ cm $$\rightarrow  a = 8 $$ cm 
Total surface area of a cube of edge $$a$$ $$ = 6{a}^{2} $$ 

So, the total surface area of the cube of edge $$a$$ $$ = 8$$ cm is $$6{(8)}^{2} = 384  {cm}^{2} $$


Mathematics

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