Identical charges (-q) are placed at each corners of cube of side b then electrostatic potential energy of charge (+q) which is placed at centre of cube will be

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There are eight corners of a cube and in each corner there is a charge of (-q). At the centre of the corner there is a charge of (+q). Each corner is equidistant from the centres of the cube and the distance is half of the diagonals of the cube.
Diagonal of the cube 

Now, electric potential energy of the charge (+q) due to a charge (-q) at one corner = U

Total electric potential energy due to all the eight identical charges

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