Measuring the World
2. Metric Units of Length, Mass, and Volume
Learning outcomes
- I can identify common metric units for length, mass, and volume.
- I can choose appropriate metric units for different situations.
- I can estimate measurements using metric units.
- I can measure objects using rulers, scales, and graduated containers.
- I can compare measurements expressed in different metric units.
Introduction
Scientists use the metric system because it is simple, consistent, and used throughout most of the world. The metric system is based on powers of ten, making it easy to convert between units by multiplying or dividing by 10, 100, or 1000. This makes calculations much easier than using many other measurement systems.
Three of the most common quantities measured in science are length, mass, and volume. Choosing the correct unit and measuring carefully allows scientists to collect reliable data, compare results, and communicate clearly with others.
The Metric System
The metric system is a standard system of measurement used by scientists around the world.
Its main advantages are that it:
- Uses powers of ten.
- Is easy to convert between units.
- Is used internationally.
- Provides consistent measurements.
The three common metric quantities studied in science are:
- Length
- Mass
- Volume
Figure 1. Different instruments are used to measure length, mass, and volume in the metric system.
Measuring Length
Length measures the distance between two points.
Common metric units include:
| Unit | Symbol. | Common Uses |
|---|---|---|
| Millimetre | mm | Thickness of paper, insects |
| Centimetre. | cm | Pencil, notebook, hand |
| Metre | m | Height of a person, length of a room |
| Kilometre | km | Distance between towns or cities |
Examples
- Thickness of a coin → millimetres
- Length of a pencil → centimetres
- Height of a door → metres
- Distance between schools → kilometres
Measuring Mass
Mass measures the amount of matter in an object.
Common metric units include:
| Unit | Symbol. | Common Uses |
|---|---|---|
| Milligram. | mg | Medicines, vitamins |
| Gram | g | Food, pencils, fruit |
| Kilogram | kg | People, furniture, animals |
Examples
- Tablet of medicine → milligrams
- Apple → grams
- School backpack → kilograms
- Adult person → kilograms
Mass is measured using:
- Electronic balances
- Triple beam balances
- Digital scales
Measuring Volume
Volume measures the amount of space occupied by a substance.
For liquids, common metric units include:
| Unit | Symbol. | Common Uses |
|---|---|---|
| Millilitre. | mL | Drinks, medicines, laboratory samples |
| Litre | L | Bottles of water, fuel, aquariums |
Examples:
- Eye drops → millilitres
- Glass of milk → millilitres
- Bottle of soft drink → litres
- Fish tank → litres
Scientists often measure liquid volume using:
- Graduated cylinders
- Measuring cylinders
- Beakers (less precise)
- Pipettes (small volumes)
Figure 2. The most common metric units for length, mass, and volume.
Choosing Appropriate Units
Selecting the correct unit makes measurements easier to understand.
Length
| Object | Best Unit |
|---|---|
| Ant | mm |
| Pencil | cm |
| Classroom. | m |
| Road | km |
Mass
| Object | Best Unit |
|---|---|
| Vitamin tablet. | mg |
| Apple | g |
| Student | kg |
Volume
| Object | Best Unit |
|---|---|
| Spoonful of medicine. | mL |
| Juice box | mL |
| Bottle of water | L |
| Aquarium | L |
Choosing the correct unit improves accuracy and avoids unnecessarily large or small numbers.
Estimating Measurements
Scientists often estimate measurements before measuring.
Estimating helps:
- Check whether measurements are reasonable.
- Detect mistakes.
- Develop measurement skills.
Examples:
- Pencil length ≈ 18 cm
- Classroom width ≈ 8 m
- Apple mass ≈ 180 g
- Bottle of water ≈ 1 L
Good estimates become more accurate with practice.
Figure 3. Familiar objects help us estimate metric measurements more accurately.
Measuring with Scientific Instruments
Measuring Length
A ruler is used to measure length.
When using a ruler:
- Place the object at the zero mark.
- Read the scale at eye level.
- Record the unit.
Measuring Mass
A balance measures mass.
When using a balance:
- Place the object carefully.
- Wait for the reading to stabilise.
- Record the value and unit.
Measuring Volume
A graduated cylinder measures liquid volume.
When using a graduated cylinder:
- Place it on a flat surface.
- Read the bottom of the meniscus at eye level.
- Record the measurement in millilitres.
The meniscus is the curved surface of a liquid.
Figure 4. Accurate measurements require correct use of scientific measuring instruments.
Comparing Metric Measurements
Measurements can often be expressed using different units.
Examples:
- 1 m = 100 cm
- 1 cm = 10 mm
- 1 kg = 1000 g
- 1 g = 1000 mg
- 1 L = 1000 mL
Examples:
- 2.5 m = 250 cm
- 750 g = 0.75 kg
- 1500 mL = 1.5 L
Knowing these relationships makes it easier to compare measurements.
Why the Metric System Is Useful
The metric system is ideal for science because:
- It is based on powers of ten.
- Conversions are simple.
- It is used internationally.
- It reduces calculation errors.
- It allows scientists everywhere to communicate using the same units.
For these reasons, nearly all scientific work uses metric units.
Figure 5. Metric prefixes make it easy to convert between units using powers of ten.
Worked Example
Question
Choose the most appropriate metric unit for each measurement.
| Quantity | Best Unit |
|---|---|
| Height of a tree | m |
| Length of a paperclip | cm |
| Thickness of a coin | mm |
| Mass of a watermelon | kg |
| Volume of a glass of juice. | mL |
| Volume of a fish tank | L |
Real-World Connection
Builders, chefs, doctors, engineers, and scientists all rely on metric measurements. For example, pharmacists measure medicines in milligrams and millilitres to ensure patients receive the correct dose, while engineers measure components to fractions of a millimetre so that machines fit together safely and function correctly.
Did You Know?
The metric system was first introduced in France in 1795. Today, it is the official system of measurement in almost every country in the world and is the standard system used in science, medicine, engineering, and international trade.
Key Terms
Centimetre (cm) – A metric unit of length equal to one hundredth of a metre.
Graduated cylinder – A laboratory instrument used to measure liquid volume accurately.
Kilogram (kg) – The standard metric unit of mass commonly used for heavier objects.
Litre (L) – A metric unit used to measure larger volumes of liquids.
Mass – The amount of matter in an object.
Meniscus – The curved surface of a liquid in a container.
Metre (m) – The standard metric unit of length.
Millilitre (mL) – A metric unit used to measure small volumes of liquids.
Millimetre (mm) – A metric unit of length equal to one thousandth of a metre.
Volume – The amount of space occupied by a substance.
Key Takeaways
- The metric system is the standard system of measurement used in science because it is simple and based on powers of ten.
- Common metric units for length are millimetres, centimetres, metres, and kilometres.
- Common metric units for mass are milligrams, grams, and kilograms.
- Common metric units for volume are millilitres and litres.
- Choosing appropriate units and using measuring instruments correctly helps ensure accurate and reliable measurements.
- Metric units are easy to compare and convert because they are related by factors of 10, 100, and 1000.