A cuboid has dimensions by by where . A water tank is a cylinder with base area . The cuboid stays at the bottom when water is added.
When the cuboid has the by face down, a volume of water is added to the tank to a depth of , level with the top of the cuboid.
When the cuboid has the by face down, the water level drops by .
When the cuboid has the by face down, the water level again drops by .
Find how much the water level drops when the cuboid is removed.
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Cayley Mathematical Olympiad (2025)
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