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Density - GCSE Maths Exam Questions & Answers

Question 16 - GCSE OCR Foundation Maths Past Paper 1 (Calculator) - June 2019
Question 23 - GCSE OCR Foundation Maths Past Paper 3 (Calculator) - November 2020
Question 9 - GCSE AQA Higher Maths Past Paper 1 (Non-Calculator) - June 2017

Density - GCSE Maths

1. What is Density?

Density is the amount of matter of an object per unit volume. Density is usually measured in kilograms per cubic metres (kg/m³) or grams per cubic centimetres (cm³).

Mass is the amount of matter in an object. Mass is usually measured in kilograms (kg) or grams (g). 

Volume is the amount of 3D space an object takes up. It is usually measured in litres or cubic metres or cubic centimetres.

These properties are interlinked together such that if you are given any two of them you can easily calculate the third one.

GCSE Topicwise Density Article Image 01

2. The formula triangle for density 

The formula triangle for density is an easier way to remember the relation among mass, volume and density.

GCSE Topicwise Density Article Image 02

This is the way we use these triangles:-

GCSE Topicwise Density Article Image 03

Where 

M → Mass

D → Density

V → Volume

Examples:

1. An object with mass 2 kg and has a volume of 100 g/cm³. Calculate its density.

GCSE Topicwise Density Article Image 04

2. Water has a density of 1000 g/cm³ so what will be the mass of 5 litres of water?

GCSE Topicwise Density Article Image 05

3. An steel object of density 25 kg/m³ has a mass of 500 kg. Calculate the volume of this steel object.

GCSE Topicwise Density Article Image 06

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