A cubical box measures (1.50 mathrm{~m}) on each side and has a mass of (3000 mathrm{~kg}). Its

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A cubical box measures \(1.50 \mathrm{~m}\) on each side and has a mass of \(3000 \mathrm{~kg}\). Its walls are made of a dense but very thin metal, and the box is placed upright in a lake.

(a) Once equilibrium is achieved, how far below the lake surface is the bottom of the box?

(b) If you slowly add water to the box, how deep can the water level in the box be before the box sinks? Assume that the box always remains level.

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