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Measurement Project Planner

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Measurement Project Planner

Plan a raised garden bed for a community garden in Aotearoa New Zealand. Use the information in each task to estimate materials and costs, then check that your plan is practical. Show units in every calculation and round money to the nearest cent unless asked otherwise.

Design data

The garden bed is a rectangle measuring 8.0 m by 3.5 m. It will be filled to a depth of 0.30 m. A 0.60 m-wide path runs along one 8.0 m side. Soil costs $45.00 per cubic metre and is sold in 0.1 m³ increments. A timber edging strip is needed around the bed; timber costs $6.80 per metre. Allow 10% extra soil to account for settling.

Bed: 8.0 m × 3.5 m Fill depth: 0.30 m Path: 0.60 m wide along the 8.0 m side

Cross-section (not to scale) Soil depth: 0.30 m Bed width: 3.5 m

Measure, calculate and plan

Use the project data above. Write your working clearly.

1.Which unit is most suitable for expressing the area of the garden bed? Choose one.

2.Convert the bed’s length of 8.0 m into centimetres. Show the conversion.

3.Calculate the area of the bed in square metres. Include the formula and units.

4.Calculate the volume of soil needed to fill the bed to a depth of 0.30 m, before allowing for settling.

5.Add 10% extra soil for settling. How many cubic metres should be ordered before rounding to the supplier’s 0.1 m³ increments?

6.Soil is sold in 0.1 m³ increments. What order quantity meets or exceeds the amount in Question 5? Explain why you round this way.

7.At $45.00 per cubic metre, calculate the soil cost for your order quantity from Question 6.

8.Timber edging goes around all four sides of the bed. Calculate the perimeter, then the timber cost at $6.80 per metre.

9.Find the total cost of the soil and timber edging. Give your answer in New Zealand dollars.

10.A volunteer measures the bed width once and records 3.5 m. Give two practical steps that would improve the reliability of this measurement before ordering materials.

11.Sketch a labelled top-down plan of the bed and the path beside it. Label the bed’s length and width, the path width, and the total width across the bed and path. Add a north arrow or another clear orientation marker.