A block of wood is floating in water. The weight of the part of the block above water is one third of the total weight of the block. What is the the part the water by the block of weight of wood, using Archimedes' principle?

1 Answer
Alan P.
Feb 15, 2016

The wood is #2/3# as dense as water.

Explanation:

The question is not clear but I think this is likely what you are looking for.

If #2/3# of the block of wood is submerged then
#color(white)("XXX")#the mass of water displaced by #2/3# of the volume of the block of wood is equal to the mass of the block of wood.

Another way to say this is:
each unit volume of wood can be supported by #2/3# of a unit volume of water.

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