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By Archimedes' Principle, a floating body displaces a volume of fluid whose weight is exactly equal to its own.

  • This assumes that the body is in equilibrium.
  • In order to know the weight of the body (i.e. the object) you must know the density of the fluid in which it is floating.
  • Also, Surface Area (SA, in cm2) of object must be known.
  • Suppose density of the fluid is rho.
Thus,

Having height = 10cm

Wobject = Volumedisplaced*Densityfluid = SA*Height*rho

Suppose it is water with rho = 1g/cm3, SA = 1cm2

Wobject = 10cm*1cm2*1g/cm3 = 10g.

Just make sure your units are correct.

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15y ago

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