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Introduction to Measurement

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Introduction to Measurement

Ari is helping plan a community garden in Aotearoa New Zealand. Use the information and diagrams on this worksheet to choose suitable units, calculate measurements and explain your thinking. Show working where needed.

Garden plan

The garden is a rectangle 8 m long and 5 m wide. A square herb patch inside it is 2 m by 2 m. A water tank is a rectangular prism measuring 1.2 m long, 0.8 m wide and 1 m high.

1.The gardener wants edging around the outside of the whole rectangular garden. What measurement should be calculated, and what is its value?

2.How much ground will need to be covered with soil, excluding the herb patch? Give your answer in square metres.

3.Calculate the tank’s capacity in cubic metres. State the measurement type as well as the calculation.

4.Which unit is the most suitable for measuring the length of a garden hose: millimetres, metres, or cubic metres? Explain briefly.

Choose, convert and check

Remember: length uses units such as m; area uses square units such as m²; volume uses cubic units such as m³.

5.A seedling tray is 45 cm long and 30 cm wide. What is its area in cm²?

6.Convert 2.4 m to centimetres. Include the conversion fact you use.

7.A bucket holds 12 litres of water. How many millilitres is this?

8.Match each job with the measurement that best answers it: (a) how much compost fills a planter, (b) how much mesh covers a flat gate, (c) how far a path runs. Choose from area, length and volume.

a) Compost filling a planter
b) Mesh covering a flat gate
c) Distance along a path

Area
Volume
Length

9.A rectangular compost bin has a base 1.5 m long and 0.6 m wide. What is the area of its base? Choose the correct answer.

0.9 m²
2.1 m²
4.2 m²
0.9 m³

10.A classmate says, “The garden is 40 metres.” Explain what is wrong with this answer and give the correct unit for the garden’s area.

11.The garden’s outer dimensions are 8 m by 5 m. Sketch a rectangle and label its sides. Then show a calculation for its perimeter and write the answer with units.

12.A roll of garden edging is 30 m long. After edging the whole garden, how much remains? Show the subtraction.