Q12 of 189 Page 512

The lateral surface area of a cube is 256m2. The volume of the cube is

Lateral surface area of a cube = 4(side)2


Given Lateral surface area = 256 m2


⇒ 4(side)2 = 256m2


⇒ (side)2 = m2


⇒ (side) = √64m= 8m


Volume of a cube = (side)3


⇒ Volume = (8)3 m3 = 512 m3

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