Question

The volume of an object, made out of a material of density 5600 kg/m cube, is 50cm cube. Find the mass (in grams).​

Answer 1

d = m/V

m = d×V

V = m/d

DENSITY

Density is defined as mass per unit volume.

d = m/V

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 = 200cm³

Step 2: Calculate the density

d = m/V = 433g200cm³= 2.16 g/cm³

MASS

d = m/V

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 ×

1.11g1mL

= 555 g

VOLUME

d = m/V

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

V = m/d

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 × 1000g1kg = 14,830 g

Step 2: Calculate the volume.

V = m/d = 14 830 g × 1cm³19.32g = 767.6 cm³.

Mass, density and volume triangle.