# A substance has a mass of 360 g and a volume of 7.5 cm^3. What is its density?

Jul 11, 2017

$\text{Density} = 48 \frac{g}{c {m}^{3}}$

#### Explanation:

By definition:

"Density" = ("mass")/("unit""volume")

Given:
$\text{mass} = 360 g$ and $\text{Volume} = 7.5 c {m}^{3}$

=> $\text{Density} = \frac{360 g}{7.5 c {m}^{3}}$ = $48 \frac{g}{c {m}^{3}}$

Jul 11, 2017

$\rho = 48$ ${\text{g/cm}}^{3}$

#### Explanation:

We're asked to find the density of an object given it's mass and the volume it occupies.

The density of an object is the mass of that object per unit volume (the conventional units for volume vary depending on the state of matter of the object; e.g. ${\text{cm}}^{3}$ for solids, $\text{mL}$ for liquids, and $\text{L}$ for gases).

To find the density (symbol $\rho$), we simply divide the mass by the volume:

color(red)("density") = (color(blue)("mass"))/(color(green)("volume"))

color(red)(rho) = (color(blue)(360)color(white)(l)color(blue)("g"))/(color(green)(7.5)color(white)(l)color(green)("cm"^3)) = color(red)(48 color(red)("g/cm"^3

which is quite dense, if you ask me..