# How are density mass and volume related?

##### 1 Answer

They are related by the the density triangle.

#### Explanation:

They are related by the the density triangle.

d =

m = d×V

V =

DENSITY

Density is defined as mass per unit volume.

d =

Example:

A brick of salt measuring 10.0 cm x 10.0 cm x 2.00 cm has a mass of 433 g. What is its density?

Step 1: Calculate the volume

V = lwh = 10.0 cm × 10.0 cm × 2.00 cm = 200 cm³

Step 2: Calculate the density

d =

MASS

d =

We can rearrange this to get the expression for the mass.

m = d×V

Example:

If 500 mL of a liquid has a density of 1.11 g/mL, what is its mass?

m = d×V = 500 mL ×

VOLUME

d =

We can rearrange this to get the expression for the volume.

V =

Example:

What is the volume of a bar of gold that has a mass of 14.83 kg. The density of gold is 19.32 g/cm³.

Step 1: Convert kilograms to grams.

14.83 kg ×

Step 2: Calculate the volume.

V =