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Measuring Our Space
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Measuring Our Space
A community group is planning a small neighbourhood in Aotearoa New Zealand. Use metric units throughout. Show your working and include units in your answers.
Plan and measure
The design team is checking measurements before building begins.
1.The main walking path is 2.4 km long. Convert this distance to metres.
2.A rainwater pipe is 3.75 m long. Convert its length to millimetres.
3.Which unit would be most suitable for recording the thickness of a window pane: millimetres, metres or kilometres? Give one reason for your choice.
4.A rectangular community garden measures 8.5 m by 6 m. Calculate its area and perimeter.
Section A 12 m long 8 m wide
Section B 5 m long 8 m wide
5.The two sections in the site plan do not overlap. Find their combined area. Show how you split the calculation.
Scale, space and capacity
Use the measurements to help the design team make practical decisions.
6.A scale drawing uses 1 cm to represent 4 m. A footpath is 7.5 cm long on the drawing. What is its actual length in metres?
7.The neighbourhood site is 50,000 m². Green space must cover 20% of the site. How many square metres must be green space?
8.A rectangular rainwater tank has internal measurements of 1.2 m long, 0.8 m wide and 1.5 m high. Calculate its capacity in cubic metres, then convert the capacity to litres. (1 m³ = 1,000 L)
9.At a scale of 1:50, a playground measures 15 cm by 20 cm on a plan. Find its real-world length and width in metres.
10.A builder measures a garden bed as 4.28 m long. Round this measurement to the nearest tenth of a metre. Explain why the rounded value may be suitable for an early estimate but not for cutting materials.
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