You should be able to solve this

Well sort of, but the distance from the back face is even shorter for A and B than for the central dot, so there is a way to get to B in even less distance than the red dot. What I don't get is what says, because if you look at the blue dot, at least to me it seems like there's a shorter path there than the red.

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The water pushes on the steel ball with a bouyant force, which is counteracted on the scale. The same thing happens with the ping pong ball and since they're the same size, the scale doesn't tip.

Oh wait, by center but opposite side, did you mean like halfway down the B-line? Yeah, that would be further actually.

The buoyancy of the steel ball is more than the weight of the ping pong ball. It tips to the right.

You should be able to solve this.

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While the problem itself is vaguely interesting and I understand why it works the way it does after a search, I would like to propose a point inside the prism itself. If the bug can't go through the inside, it will never reach no matter how far it goes. Ergo, infinite time/length.

R E N T F R E E

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That's the spirit!

It's not a point on the cuboid though, so proposal denied

wrong
They are both at the same depth, and have the same area of displacement, unless you allow the steel ball to sink it wont tip the scale in either direction

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