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Lateral surface area of a cube

A lateral sur...

Question

A lateral surface area of cube is $256 m^{2}$ . find its volume

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Solution

Lateral surface area of a cube $= 4 a^{2} = 256 m^{2}$
$\Rightarrow a^{2} = \frac{256}{4} = 64$
Side $= a = 8$ m
Volume of cube $= a^{3} = 8^{3} = 512 m^{3}$

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