Imperial units

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Proportion


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Tutor: Labib

Summary

Imperial units

In a nutshell

The imperial unit system is another set of units that are not used as much nowadays, but are still seen in specific circumstances.


Imperial units

Here is a table of imperial units:


Measurement

Units

Length

Inches, feet, yards, miles

Area

Square inches, square feet, square miles

Volume

Cubic inches, cubic feet, gallons, pints

Mass

Ounces, pounds, stones, tons

Speed

Miles per hour (mph)


Note: Tons and tonnes are two different units of measure!



Converting between units

While there is no need to memorise any conversions related to imperial measurements, it is still important to be familiar with them when converting from either one imperial unit to another, or an imperial unit to a metric unit.


Example 1

A bird weighs 33​ pounds. Given that 11 pound =16=16 ounces, how much does the bird weigh in ounces?


The conversion rate is given:

11pound =16=16ounces


Multiply both sides by 33 to find what 33 pounds is equivalent to:

33pounds =16×3=16\times3 ounces


​​33 pounds =48=48 ounces


The bird weighs 48 ounces\underline{48 \ \text{ounces}}.


Example 2

Give an approximate conversion of 3030​ pints to gallons to 11​ decimal place, given that 11 litre 1.75\approx1.75 pints, and 11 gallon 4.5\approx4.5 litres.


First, convert the 3030​ pints to litres:

11litre 1.75\approx 1.75 pints


11pint 11.75\approx \frac{1}{1.75} litres


3030pints (11.75×30)\approx (\frac{1}{1.75}\times30) litres


3030pints 17.14\approx17.14 litres


Then, convert the 17.1417.14 litres to gallons:

11gallon 4.5\approx4.5 litres


11litre 14.5\approx \frac{1}{4.5} gallons


17.1417.14litres (14.5×17.14)\approx (\frac{1}{4.5}\times17.14) gallons


17.1417.14 litres 3.8095....\approx3.8095.... gallons


30 pints3.8 gallons (1.d.p)\underline{30 \ \text{pints} \approx3.8 \ \text{gallons} \ (1.d.p)}


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FAQs - Frequently Asked Questions

How do you convert imperial units to metric units or other imperial units?

What are imperial units?

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