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A barge has dimensions of length, width, and height equal to 10 m, 6 m, and...

A barge has dimensions of length, width, and height equal to 10 m, 6 m, and 4 m, respectively. A pride of lions, all with mass of 230 kg, are investigating the enticing odor of sardine oil that is on the floor of the barge, possibly from the shoes of an unsuspecting zookeeper. The barge is floating in fresh water, which has a density of 1000 kg/m3.

When the barge is empty, it floats with 80% of its volume submerged. Determine the mass of the barge in kg.

Determine the density of the barge when it is empty in kg/m3.

How many lions can board the barge before it sinks? That is, what is the maximum number of lions that can be on board for which the barge still floats?

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