Area, Volume, Time and Temperature: Year 6 Study Guide
Measurement brings maths to jobs like building, cooking and travel planning.
The area of a rectangle is length × width. The area of a parallelogram is base × perpendicular height. A triangle is half of a parallelogram, so its area is ½ × base × height. Remember: the height must be at right angles to the base.
Volume of a rectangular prism is length × width × height, in cubic units. Capacity is measured in millilitres and litres (1 cm³ = 1 mL, and 1000 cm³ = 1 L). Students also read time zones and temperature scales in °C, including negatives.
Formulas
| Shape | Formula | Example |
|---|---|---|
| Rectangle | l × w | 8 × 5 = 40 m² |
| Parallelogram | b × h | 10 × 4 = 40 cm² |
| Triangle | ½ × b × h | ½ × 6 × 5 = 15 cm² |
| Prism volume | l × w × h | 4 × 3 × 2 = 24 cm³ |
Composite shapes
Split an L-shape into rectangles, find each area and add. Or find the area of the whole rectangle and subtract the missing part. A garden 12 m by 8 m with a 4 m by 3 m patio inside has a planting area of 96 − 12 = 84 m².
Choose the easier way.
Use the right formula.
Combine.
m², cm².
Time and temperature
Time problems often cross midnight or time zones. A flight leaves Sydney at 2140 and flies for 8 hours 20 minutes: it arrives at 0600 the next day. Temperatures can be negative: the change from −3 °C to 9 °C is 12 °C. Timetables, travel plans and weather charts use these skills.
Worked examples and common mistakes
Example: A triangle with base 10 cm and height 7 cm has an area of ½ × 10 × 7 = 35 cm². Common mistakes: using the slanted side as the height, forgetting the ½ for a triangle and writing cm instead of cm². Draw the perpendicular height as a dotted line.
Check your understanding: model answers
1. 20 cm². 2. 60 cm³. 3. 15 °C.
✨ Key Takeaways
- Triangle area = ½ × base × height.
- Volume = l × w × h.
- 1 L = 1000 cm³.
- Height is perpendicular to the base.
💬 Questions for Discussion & Reflection
- Find the area of a triangle with base 8 cm and height 5 cm.
- Find the volume of a box 5 × 4 × 3 cm.
- How much does the temperature change from −4 °C to 11 °C?