Question

A float wooden block has a Volume 70.6m³ and displaces 0.8m³ of water. Determine the density of the block?

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Answer 1

density = mass/volume

However, we don't have the mass of the block, so we need to use the fact that the block floats in water. When an object is floating in water, the weight of the water displaced is equal to the weight of the object. So we can find the mass of the block by using:

mass = density of water x volume of water displaced

The density of water is 1000 kg/m³, so:

mass = 1000 kg/m³ x 0.8 m³ = 800 kg

Now we can find the density of the block:

density = mass/volume = 800 kg / 70.6 m³ = 11.31 kg/m³

Therefore, the density of the wooden block is 11.31 kg/m³.