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## Homework Statement

Well, here's the homework question:

A charge Q is located inside a rectangular box. The electric flux through each of the six surfaces of the box is: phi1=+1500Nm^2/C, phi2=+2200Nm^2/C, phi3=+4600Nm^2/C, phi4=-1800Nm^2/C, phi5=-3500Nm^2/C, and phi6=-3400Nm^2/C. What is Q?

My guess is that I will have to use Gauss's law (electric flux = enclosed charge over electric constant) to find out the charge for each number and then find the mean of all the charges? But what's really confusing me is that Gauss's law's units don't seem to cancel out properly. Please show me why I'm an idiot.

## Homework Equations

seems like it should be

...why isn't it?

## The Attempt at a Solution

My attempt at a solution would be

+1500 * 8.99E9 = 1.35E13

+2200 * 8.99E9 = 1.98E13

+4600 * 8.99E9 = 4.14E13

-1800 * 8.99E9 =-1.62E13

-3500 * 8.99E9 =-3.14E13

-3400 * 8.99E9 =-3.06E13

The mean of those numbers = -5.83E11 = Q?