# Amaterial weighs 8 grams and takes up 2 cubic centimeters of space. What is the material's density in grams per cubic centimeter (g/(cm^3))?

$\text{Density}$ $=$ $\text{mass"/"volume}$ $=$ $4 \cdot g \cdot c {m}^{-} 3$
$\text{Density}$ $=$ $\text{mass"/"volume}$ $=$ $\frac{8 \cdot g}{2 \cdot c {m}^{3}}$ $=$ $4 \cdot g \cdot c {m}^{-} 3$
When we put the units into these sorts of calculations, it is an extra check on our accuracy. We try to calculate a density, with reasonable units of $g \cdot m L$ or $g \cdot c {m}^{-} 3$. We got an answer in $g \cdot c {m}^{-} 3$, which persuades us that we are not too far off. You can use this approach with physics problems as well. It is all too easy to make a mistake in the formula or even in the arithmetic.