# Functional Skills: Density

## Functional Skills: Density Revision

**DensityÂ **

**Density** measures the relationship between the mass and volume of an object.

The units used for density are usually kilograms per cubic metre (kg/m^3) or grams per cubic centimetre (g/cm^3).

**Density, Mass and Volume**

**Density**, **Mass **and **Volume **are related by the following equations:

**Density **= **M****ass **\div **Volume**

**Mass **= **Density **\times **Volume**

**Volume** = **Mass **\div **Density**

**Note:**

You may see **weight** being used instead of **mass** – just take them as meaning the same thing.

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**Example 1:Â ****Calculating Density**

An object has a mass of 490 g and a volume of 1950 cm^3.

Calculate the object’s density to 3 decimal places.

**[2 marks]**

Density = Mass \div Volume

The object’s density =\dfrac{490}{1950}=0.251 g/cm^3

**Example 2: ****Calculating Mass**

A block of wood has a volume of 196 cm^3 and a density of 0.8 g/cm^3.

Calculate the mass of the the block of wood.

**[2 marks]**

Mass = Density \times Volume

Block of wood’s mass =0.8\times196=156.8 g

**Example 3: ****Calculating VolumeÂ **

A block of gold has a density of 19.3 g/cm^3 and a mass of 2500 g.

Calculate the volume of the gold block to 1 decimal place.

**[2 marks]**

Volume = Mass \div Density

Gold block volume =\dfrac{2500}{19.3}=129.5 cm^3

## Functional Skills: Density Example Questions

**Question 1:Â **A 0.57 kg bottle of tomato ketchup has a volume of 495 cm^3. Calculate the density of the ketchup in g/cm^3 to 2 decimal places.

**[2 marks]**

First convert 0.57 kg into grams: 0.57\times1000=570 g

Density = Mass \div Volume

Density of ketchup = \dfrac{570}{495}=1.15 g/cm^3 to 2 decimal places.

**Question 2:Â **A cube with side lengths of 6 cm has a density of 12.5 g/cm^3. Calculate the mass of the cube in kg.

**[3 marks]**

First we need to work out the volume of the cube: 6\times6\times6=216 cm^3

Mass = Density \times Volume

Mass of cube = 12.5\times216=2700 g = 2.7 kg

**Question 3:Â **A block of silver has a density of 10.49 g/cm^3 and a mass of 112914.36 g. Calculate the volume of the block of silver.

**[2 marks]**

Volume = Mass \div Density

Volume of the block of silver = \dfrac{112914.36}{10.49}=10764 cm^3

## Functional Skills: Density Worksheet and Example Questions

### Density L2

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