NotesMath · P5 / P6Volume
Volume & Average Quick Notes
Cuboids, missing dimensions and average reasoning.
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Volume model
Length × breadth × height.
1
Cuboid Volume
V = length × breadth × height. All in the same unit.
2
Water Level
Volume of water = base area × water height. Use this to find missing dimensions.
3
Average
Average × number = total. If average changes, work with the total first.
Common Mistakes
- Mixing cm with m without converting
- Forgetting that 1 litre = 1000 cm³
- Averaging averages instead of totals
Teaching Team Tip
For every average question, write 'total = average × number' first.
Worked Example
Try it, then check the steps
Question
A tank measures 20 cm × 15 cm × 10 cm. It is half-full. Find the volume of water.
Steps
- 1Full volume = 20 × 15 × 10 = 3000 cm³
- 2Half-full = 1500 cm³
What to do next
Learn Volume
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