The lateral surface area of a cube is 256 m2. The volume of the cube is -Maths 9th

The lateral surface area of a cube is 256 m2. The volume of the cube is -Maths 9th
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(a) Given, lateral surface area of a cube = 256 m2 We know that, lateral surface area of a cube = 4 x (Side)2 ⇒  256 = 4 x (Side)2 ⇒  (Side)2 = 256/4 = 64 ⇒  Side = √64 = 8 m [taking positive square root because side is always a positive quantity] Now, volume of a cube = (Side)3 = (8)3 = 8 x 8 x 8 = 512 m3 Hence, the volume of the cube is 512 m3.
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