Concepts
Start where a child starts. Long before any unit is named, a young child has a feel for 'more' and 'less' — the cup that fills up faster, the bottle that takes longer to empty. Capacity is the amount of liquid (or anything pourable, like sand or rice) that a container can hold. We say a jug has a large capacity and a spoon has a small one. The word volume is often used interchangeably at primary level, though strictly volume is the space an object takes up while capacity is how much a hollow container can hold; for the CTET primary paper they are treated as the same idea measured in litres and millilitres. The single most important teaching point, and a favourite CTET trap, is that the shape of a container can fool the eye. A tall thin bottle looks like it holds more than a short wide bowl, yet the bowl may hold far more. The honest way to compare two containers is to pour from one into the other, or to fill both from a common measuring cup and count — never to judge by height alone. This is exactly the conservation idea: the amount of water does not change when you pour it into a differently shaped glass. Children should meet capacity through hands-on pouring, filling and emptying with water, sand and rice before any number or unit is introduced. The progression is: compare directly (which holds more), then use a non-standard unit (how many cups fill the bucket), and only then the standard units litre and millilitre.
✅ Solved examples
✏️ Practice — try these, take hints as needed
📝 Topic test — 8 questions
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Key Concepts — Quick Reference
Units of capacity (the one fact everything rests on)
| Litre and millilitre | 1 litre (L) = 1000 millilitres (mL) |
|---|---|
| Half a litre | 1/2 L = 500 mL |
| Quarter litre | 1/4 L = 250 mL |
| Three-quarter litre | 3/4 L = 750 mL |
| Kilolitre (rarely tested) | 1 kilolitre (kL) = 1000 L |
Capacity concepts and operations
| Capacity vs volume | Capacity = how much a container HOLDS (usually liquid, in L/mL) |
|---|---|
| More / less (early idea) | Compare by pouring into identical containers; shape can mislead |
| Litre to millilitre | Multiply by 1000 (move 3 places, e.g. 2 L = 2000 mL) |
| Millilitre to litre | Divide by 1000 (e.g. 3500 mL = 3 L 500 mL) |
| Mixed measure | Add/subtract mL with mL; carry/borrow at 1000 (1000 mL = 1 L) |