Mathematics
Intermediate
50 mins
Teacher/Student led
+90 XP
What you need:
IWB/Projector/Large Screen
Measuring jug

Litres and Cubic Centimetres: the Same Space

Discover that 1 litre occupies exactly 1,000 cm³ of space. Learn to convert between litres, millilitres and cubic centimetres, and explore how containers of different shapes can hold identical capacities.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere is a 1 litre carton of milk, and beside it a solid cube that measures 10 cm along every edge.

    Hands up: do you think these two hold the same amount of space inside, or is one bigger than the other?

    2 - Watch and Notice ~9 mins

    Watch the two boxes and the converter on screen. The two boxes look completely different but hold the same amount — see if you can spot what stays the same. Then watch how one litre turns into millilitres, and think about what the very last step to cm³ should be.

    3 - Try It Together ~10 mins

    Remember our rule: 1 ml fills exactly 1 cm³, so those numbers are always the same. When a job is written in cm³, we swap it for the same number of ml in our heads, then use the converter. Before we check each one, we say out loud whether we multiply or divide, and by what.

    • 2,500 cm³ → litres
    • 0.75 litre → millilitres
    • 500 ml → litres
    • 1.5 litres → millilitres

    Convert between litres and ml

    4 - Write Volume and Capacity Side by Side ~2 mins

    COPYBOOK MOMENT

    In your maths copy, write each value below twice, side by side: once as a volume in cm³ and once as a capacity in litres or ml. Between the two, draw an arrow and write "÷ 1,000" or "× 1,000" to show the step.

    • 1 litre
    • 2,500 cm³
    • 0.75 litre

    Now write one extra line on its own: 250 ml = 250 cm³. Draw the arrow between them and write "× 1", because ml and cm³ are the same size, so the number stays the same.

    5 - Class Challenge ~8 mins

    Today we work through these on the board. Say whether you multiply or divide before each one.

    • 3,000 cm³ → litres
    • 1.5 litres → millilitres
    • 750 ml → litres
    • Fish tank 30 cm × 20 cm × 25 cm. Work out its volume first, then say how many litres it holds.

    Convert capacity and volume

    Pupil practice
    Module 5 · Measures: Length, Area, Volume, Mass and Capacity Measures
    Lesson 55 · Litres and Cubic Centimetres: the Same Space
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