*A box shaped vessel 20m x 6m x 2.5m floats at a draft of 1.5m in water of density 1013 kg per cu.m. Find the displacement in tonnes, and the height of the centre of buoyancy above the keel.*

Displacement is the weight of water displaced.

Volume of water displaced is V = 20 * 6 * 1.5 = 180 m^3

Density of the water is 1013 kg/m^3

Weight of displaced water is 180 * 1013 = 182,340 kg

**Displacement of ship is 182.34 tonnes**

Centre of buoyancy is centre of gravity of the displaced water.

Since the displaced water has the shape/volume of a cuboid, then COG is half the draft = 0.75 m

Taking the keel to be the bottommost part of the box,

**Height of the centre of buoyancy above the keel is 0.75 m**

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