The LSA of cube is 100 m^2 . What is the volume of the cube

1.	The LSA of cube is 100 m^2 . What is the volume of the cube
Answer» Given, lateral surface area of a cube = 100 m2We know that, lateral surface area of a cube = 4 x (Side)2⇒\xa0100 =\xa04 x (Side)2⇒\xa0(Side)2\xa0= 100/4 = 25⇒\xa0Side = √25 = 5 m[taking positive square root because side is always a positive quantity]Now, volume of a cube = (Side)3\xa0= (5)3\xa0= 5 x 5 x 5 = 125 m3Hence, the volume of the cube is 125 m3.

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