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A cube of wood 3 cm on each edge floats in water with three fourths of...

A cube of wood 3 cm on each edge floats in water with three fourths of its volume submerged. What is the weight, mass and specific gravity of the wooden cube?

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Answer #1

given :

l = length of each side of cube = 3cm

V = volume of cube =

part of volume submerged =

density of cube = d

density of water = dw = 1g/cm^3

Buoyant force = Fb =

weight of cube =

As the cube is floating, buoyant force balances weight of cube

=> =

=>

=>

=>

mass of cube = dV = 0.75*27 = 20.25 g [answer]

weight of cube = dVg = [answer]

specific gravity = [answer]

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