How much work is required to assemble eight identical point charges, each of magnitude q, at the corners of a cube of side s? Note: Assume a reference level of potential V = 0 at r = infinity. (Use any variable or symbol stated above along with the following as necessary: ke.)
Some that may be useful are
-Work = Delta U = q Delta V
Where U = potential energy and V= Electric Potential
The Attempt at a Solution
I started by first putting the "center" of the cube at the origin of a 3D plane. From there after some Pythagorean Theorem I determined that the origin is (1/2)(sqrt3)s away from all charges q at each corner.
Noting that the initial potential difference is 0 the equation became (for these point charges) (keq/r) Where r = s in this instance.
Thus my answer became 8(keq/(1/2)(sqrt3)s) ... where 8 is to incorporate the fact there is 8 equal charges all the same s away.
I feel this is correct, but it is saying it is wrong. Any confirmation or corrections?