Capacity and Volume
Capacity is how much a container can hold, while volume is the space an object occupies or the amount of liquid inside.
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- capacity and volume
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- capacity vs volume, volume and capacity difference, measuring capacity, litres and millilitres
Capacity refers to the maximum amount a container can hold, typically a liquid or gas. Think of a bottle's capacity as how much water it can contain when full. It's about the internal space available. Volume is the amount of three-dimensional space an object occupies or the amount of liquid or gas within a container. If you fill a bottle with water, the volume is the actual amount of water *in* the bottle, which might be less than its full capacity. Both are measured in units like litres (L) and millilitres (mL), where 1 litre equals 1000 millilitres. For solids, volume can also be measured in cubic units like cubic centimetres (cm³) or cubic metres (m³). Understanding the difference is key for problems involving filling containers, measuring ingredients, or comparing liquid amounts in 11+ maths.
Check Understanding
What is the main difference between **capacity** and **volume**?
Answer
Capacity is the maximum a container can hold, while volume is the actual space occupied by a substance.
Why it works
Think of a bottle: its capacity is how much it *could* hold when full, while the volume is how much liquid is *currently* inside it.
A bottle has a **capacity** of 750 mL. If it is filled with 0.5 litres of juice, how much more juice can it hold?
Answer
It can hold 250 mL more juice.
Why it works
First, convert 0.5 litres to millilitres: 0.5 L = 500 mL (since 1 L = 1000 mL). Then, subtract the current volume from the capacity: 750 mL - 500 mL = 250 mL.
Are **litres** and **cubic centimetres (cm³)** completely different units of measurement?
Answer
No, they are related. 1 litre is equivalent to 1000 cm³.
Why it works
While litres and millilitres are typically used for liquids, cubic units like cm³ or m³ are used for the volume of solids. However, there's a direct conversion: 1 mL = 1 cm³.
Convert 2.3 litres into millilitres.
Answer
2.3 litres is 2300 millilitres.
Why it works
There are 1000 millilitres in 1 litre. To convert litres to millilitres, multiply by 1000. So, 2.3 x 1000 = 2300 mL.
Examples
A water bottle
Its capacity is 500 mL (how much it *can* hold). If it's half-full, the volume of water inside is 250 mL.
A swimming pool
The capacity is the total amount of water it can hold when full. The volume of water currently in it might be less if it's not completely filled.
A juice carton
The label states its capacity, e.g., 1 litre. The volume of juice inside is usually equal to its capacity when new.
Quick Answers
What is the main difference between capacity and volume?
Capacity is the maximum a container can hold, while volume is the actual space occupied by a substance or object.
What units are used for capacity and volume?
Common units include litres (L) and millilitres (mL) for liquids, and cubic centimetres (cm³) or cubic metres (m³) for solids.
Why is this important for 11+ exams?
11+ maths often includes problems requiring you to calculate or compare volumes and capacities, especially in word problems.