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- Homework Statement:
- Starting from a definition of Centre of Mass, show explicitly that for a uniform cuboid the centre of mass is at the centre.

- Relevant Equations:
- Provided below.

So, I volunteered to run a seminar to first year students in my college. They got a question like this for homework recently and a lot of them made a mistake in the calculation. I am not asking for help with the question itself because I know how to do it. However, a lot of students made a mistake that I shown in the image below. I'm curious about what would be the best way to explain to them why that is a wrong approach (without going into too much details about mathematics).