Density - Units Of Measure - Edexcel - GCSE Maths Revision - BBC

In this guide

1. Revise
2. Test

Pages

1. Using standard units
2. Units of area and volume
3. Speed
4. Density
5. Pressure
6. Unit pricing
7. Changing between units of measurement
8. Converting units of area
9. Converting units of volume
10. Converting units of speed, density and pressure

Density

Density is a way of comparing how heavy different materials are.

It is a measurement of the amount of a substance contained in a certain volume.

The density of any solid is the mass of the object divided by its volume.

The formula for density is:

\(\text{density} = \frac{\text{mass}}{\text{volume}}\)

The standard units of density are kg/m3 and g/cm3.

Example

Which material has the largest density?

Aluminium

\(\text{Density} = \frac{\text{mass}}{\text{volume}}\)

\(\text{Density} = \frac{13.5}{5}\)

Density = 2.7 g/cm3

Titanium

\(\text{Density} = \frac{\text{mass}}{\text{volume}}\)

\(\text{Density} = \frac{18}{4}\)

Density = 4.5 g/cm3

Titanium has the largest density. One cubic centimetre of titanium is heavier than one cubic centimetre of aluminium.

The formula for density can be rearranged to calculate the mass or volume of an object.

\(\text{Mass} = \text{density} \times \text{volume}\)

\(\text{Volume} = \frac{\text{mass}}{\text{density}}\)

Question

The density of air is 1.3 kg/m3. Calculate the mass of a balloon which holds 0.0035 m3 of air.

Show answer

Mass = \(1.3 \times 0.0035\)

Mass = 0.00455 kg

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