# Aluminium has a density of 2700 ( kg)/m^3. What is the density in g/(cm^3)?

Dec 14, 2016

$2.700 \cdot g \cdot c {m}^{-} 3$

#### Explanation:

$\rho = 2700 \cdot k g \cdot {m}^{-} 3$

$= 2700 \times {10}^{3} \cdot g \cdot {\left(100 \cdot c m\right)}^{-} 3$

$= 2.700 \times {10}^{6} \cdot g \times \frac{1}{{100}^{3} \cdot c {m}^{3}}$

$= 2.700 \times {10}^{6} \cdot g \times {10}^{-} 6 \cdot c {m}^{-} 3$

$= 2.700 \cdot g \cdot c {m}^{-} 3$

I always have to double check when I use $\text{cubic metres}$. A ${m}^{3}$ ($\equiv 1000 \cdot L$) is a HUGE volume.