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Question

If the total surface area is equal to the volume of a cube, then find the side of the cube.

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Solution

Let a be the side of the cube.
Then total surface area =6a2 and its volume is a3.
Then according to the problem ,
a3=6a2
or, a2(a6)=0
or, a=6 , as a=0 is not possible (side cannot be equal to zero)
So the side of the cube is of 6 units.

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