# Question 0cffc

Jan 19, 2016

${\text{76 cm}}^{3}$

#### Explanation:

The density of a substance tells you the mass of that substance per unit of volume.

$\textcolor{b l u e}{\text{density" = "mass"/"unit of volume}}$

Simply put, you can look at a substance's density and tell what mass is associated with one unit of volume of that substance.

In your case, the block of wood is said to have a density of ${\text{0.60 g/cm}}^{3}$. This means that the unit of volume here will be ${\text{1 cm}}^{3}$.

So, a density of ${\text{0.60 g/cm}}^{3}$ means that every ${\text{cm}}^{3}$ of wood will have a mass of $\text{0.60 g}$. You are told that a particular block of wood has a mass of $\text{126 g}$.

Well, if you get $\text{0.60 g}$ for every ${\text{1 cm}}^{3}$ of wood, you can say that $\text{126 g}$ will correspond to a volume of

126 color(red)(cancel(color(black)("g"))) * ("1 cm"^3)/(0.60 color(red)(cancel(color(black)("g")))) = "75.6 cm"^3#

Rounded to two sig figs, the number of sig figs you have for the density of the wood, the answer will be

$V = \textcolor{g r e e n}{{\text{76 cm}}^{3}}$