Calculate Density

In this worksheet, students will be asked to work out densities given the mass and volume of objects.

Key stage: KS 3

Year: Year 8 Maths worksheets

Curriculum topic: Geometry and Measures

Curriculum subtopic: Derive and Apply Formulae

Difficulty level:

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Worksheet Overview

Density is an example of a compound measure, which is one that involves more than one unit of measurement.

Density is a measure of mass (e.g. kg, g) in relation to unit volume (e.g. m³, cm³) and can be measured in kg/m³, g/cm³ etc.

We calculate densities using the following formula:

Density = Mass ÷ Volume

Example

A large block of oak has a mass of 185 kg and a volume of 0.25 m³.

Find its density in kg/m³.

Answer

Density = Mass ÷ Volume = 185 ÷ 0.25 = 740 kg/m³.

Now it's over to you to apply this formula to word problems by yourself.

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