A piece of wood that measures 3.0 cm by 6.0 cm by 4.0 cm has a mass of 80.0 grams. What the density of the wood? Would the piece of wood float in water?

1 Answer
Oct 22, 2016

The density is #1.1 g/(cm^3)#. See explanation.


The density of a substance can be calculated using:


where #m# is the mass, and #V# is the volume.

Here we do not have the volume given, however we can calculate volume by multiplying given dimensions:


So the density is: #d=80/72=1 1/9 g/(cm^3)#

To answer the question stated in the last sentence we have to compare the calculated density of the piece of wood with the density of water.

Water has density of #d_W=1 g/(cm^3)#

Since the density of the wood is greater than the density of water, it will NOT float in the water.