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the TSA of square is 384 cm^2 and volume of cube is 512 cm^3
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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.
Hope it helps you dear friend
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