Question

The lateral surface area of a cube is 256cm2.Find it volume.

Answer 1

Hi friend,

# 512 cm^3

Solution :-


The lateral surface area of a cube is = 256cm^2.

Or, 4a^2 = 256

Or, a^2 = 256/4

Or, a^2= 64

Or, root a^2 = root 64

Or, a = 8 Cm

Thus, side of cube = 8Cm.

Therefore,

Volume = a^3= 8^3Cm^3
= 512 Cm ^3

...i hope it helps you

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Answer 2

Let the base of the cube = b m

So, lateral surface area of cube = 4b2 m2

Therefore,



Thus, volume of the cube = b3 = (8)3 = 512 m3

Hence, volume of the cube will be 512 m3.

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