Density of an object is defined as the mass of the object per its unit volume. Formula to determine the density is given by,

$d$ = $\frac{m}{v}$

where,

d = density,

m = mass,

v = volume.

Plug in the mass and volume of the object into this online density calculator to get the density of the given object.

$d$ = $\frac{m}{v}$

where,

d = density,

m = mass,

v = volume.

Plug in the mass and volume of the object into this online density calculator to get the density of the given object.

Step 2: To find the unknown parameter, plug in the given values into the formula given .

$d$ = $\frac{m}{v}$

Below are some of the solved problems based on density.

### Solved Examples

**Question 1:**Determine the density of mass of 30 grams of wooden piece and with 35.2 $cm^{3}$ of volume?

**Solution:**

Step 1: Given :

mass,m = 30 grams = 0.03 kg

volume,v = 35.2 $cm^{3}$ = 0.352 $m^{3}$

density, d = ?

Step 2: Using the formula,

$d$ = $\frac{m}{v}$

d = $\frac{0.03 kg}{0.352 m^{3}}$

d = 0.0852 $kg/m^3$

Therefore, the density of wooden piece is 0.0852 $kg/m^3$.

**Question 2:**If the density of diamond is 2.5 $g/cm^{3}$ with volume of 0.4 $cm^{3}$, find the mass of the diamond.

**Solution:**

Step 1: Given :

mass,m = ?

volume,v = 0.4 $cm^{3}$

density, d = 2.5 $g/cm^{3}$

Step 2: Using the formula,

$d$ = $\frac{m}{v}$

m = $d \times v$

m = 2.5 $g/cm^{3}$ $\times$ 0.4 $cm^{3}$

m = 1 g

Therefore, the mass of the diamond is 1 g.