Which is the lateral surface area of a cube of side $x$ ?

6 x^{2}

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4 x^{2}

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x^{2}

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2 x^{2}

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Solution

The correct option is B $4 x^{2}$
Total surface area of a cube of side $x$ is given as $= 6 x^{2}$ .

Now, for Lateral surface are we have to exclude the areas of top face and bottom face.

Lateral surface area = Total surface area - area of top face - area of bottom face
Lateral Surface area $= 6 x^{2} - x^{2} - x^{2}$
Lateral Surface area $= 6 x^{2} - 2 x^{2} = 4 x^{2}$

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