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 $$= a$$ cmPerimeter 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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