Electrostatic potential of a cube with charge density

[Yashasvi Grover]

Homework Statement

Consider a uniformly charged cube with uniform charge density ρ.The ratio of electrostatic potential at the centre of the cube to that of one of the corners of the cube is?
A hint on how to approach the problem's solution would be appreciated.(whether to use gauss law or not etc.)

Homework Equations

Phi=E.A and
ΔV=Workdone/charge=-E.D

The Attempt at a Solution

I tried to use Gauss law and symmetry argument to find electric field inside the cube,but failed.Help would be appreciated.

 

[haruspex]

Homework Statement

Consider a uniformly charged cube with uniform charge density ρ.The ratio of electrostatic potential at the centre of the cube to that of one of the corners of the cube is?
A hint on how to approach the problem's solution would be appreciated.(whether to use gauss law or not etc.)
2. Homework Equations
Phi=E.A and
ΔV=Workdone/charge=-E.D

The Attempt at a Solution

I tried to use Gauss law and symmetry argument to find electric field inside the cube,but failed.Help would be appreciated.

Consider it made of eight half-sized cubes.