# 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?

Oct 22, 2016

The density is $1.1 \frac{g}{c {m}^{3}}$. See explanation.

#### Explanation:

The density of a substance can be calculated using:

## $d = \frac{m}{V}$

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:

$V = 3 \cdot 4 \cdot 6 = 72 c {m}^{3}$

So the density is: $d = \frac{80}{72} = 1 \frac{1}{9} \frac{g}{c {m}^{3}}$

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 ${d}_{W} = 1 \frac{g}{c {m}^{3}}$

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