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**1. The problem statement, all variables and given/known data**

An insulating cube of edge a has a uniform charge density p. The charge is zero everywhere outside the cube. The potential at an infinite distance from the cube is taken to be zero. If the potential at the center of the cube is Vo, find the potential at a corner of the cube. (Hint: Consider the potential at the center of a charged cube with the same charge density but with twice the length of the edge, use the principle of superposition in combination with a dimensional analysis.)

The problem is, I don't know how to find the potential at the center of a charged cube with length of the edge 2a

**2. Relevant equations**

i don't know if i am able to use gauss law to find the E-field out side and inside the cube

**3. The attempt at a solution**

i know that i can make a cube of side 2a by putting 4 cubes together, so the potential at the center of cube of side 2a will be

V_center of cube 2a = 8 V_corner