A ship constructed of (2.50 times 10^{6} mathrm{~kg}) of steel is roughly shaped like a box of

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A ship constructed of \(2.50 \times 10^{6} \mathrm{~kg}\) of steel is roughly shaped like a box of length \(50.0 \mathrm{~m}\), width \(20.0 \mathrm{~m}\), and height \(20.0 \mathrm{~m}\).

(a) What is the mass density of the ship?

(b) Does the ship float?

(c) If it floats, what is the maximum cargo mass it can carry without sinking?

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