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The determination of whether an object floats or sinks depends on the overall density of that object.

The large ship, due to large pockets of air in it, has a lower density than water.

The small and hard brick has a higher density than water and thus sinks.

This is because the upward force acting on the body when they are immersed in water (upthrust) is equal to the weight of fluid displaced.

The weight W of an object of density d and volume V can be stated as:

W = dVg

where g is the acceleration of free fall.

Upthrust is the weight of fluid displaced. So, if a body is completely immersed in a fluid of density D, upthrust U is given by:

U = DVg

If D > d, then U > W and therefore the body floats (upward force greater than downward force restores the position of the body to the surface so that upthrust is equal to weight)

If d > D, then W > U and therefore the body sinks (downward force greater than upward force)

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Q: Depending on the concept of buoyancy how can a relatively large ship float while a small and hard brick sink?
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