Volume and Capacity

Start by counting the cubes in a stack, and finish by working out how many litres a fish tank holds. The formula arrives once the counting has made it obvious.

No account, and the maths stays in your browser — more

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Count first, formula second

A cuboid is layers of cubes. Count one layer — length along, width back — and then count how many identical layers are stacked on top. That is where length × width × height comes from, and a child who has seen it happen can rebuild it when they forget it.

The mistake to watch for

Multiplying two edges instead of three. That gives the area of one face, and it is an easy slip just after a run of area questions. If the answer would be in cm² rather than cm³, only two edges got used.

1 cm³ holds exactly 1 ml

This is the fact that ties volume to capacity, and it is worth knowing outright. A container 10 cm by 10 cm by 10 cm holds 1,000 cm³, which is 1,000 ml, which is 1 litre. Every litre question in this tool is that one fact used twice.

School levels

School levels are a guide only. They show where a skill is usually taught in each country and are not taken from, aligned to, or endorsed by any curriculum authority. Your school may cover it earlier or later.