Paint Cost Geometry Project

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🏠 Part 1: The Garden Shed Project

Scenario: Your family is building a rectangular garden shed that needs to be painted. The shed measures 4 metres long, 3 metres wide, and 2.5 metres high. One tin of paint costs $25 and covers 12 square metres. You need to paint all four walls and the roof (but not the floor).

1. Calculate the surface area of the four walls.

2. Calculate the surface area of the roof.

3. What is the total surface area that needs to be painted?

4. How many tins of paint will you need to buy? (Remember: you can't buy part of a tin!)

5. What will be the total cost for paint?

📦 Part 2: Storage and Unit Conversions

6. Calculate the volume of the shed in cubic metres.

7. Convert the volume to cubic centimetres. (Hint: 1 m³ = 1,000,000 cm³)

8. If each paint tin is 25 cm × 15 cm × 12 cm, what volume of storage space do all your paint tins take up?

9. What percentage of the shed's total volume would be taken up by the paint tins?

🎨 Part 3: Project Extension

10. If paint costs have increased by 15% since last year, what would have been the original price per tin?

11. Design your own painting project! Choose a different 3D shape (cube, cylinder, or triangular prism) and calculate the paint cost. Show all your working.

My chosen shape: _________________

Dimensions: _________________________________

12. Explain why it's important to calculate surface area accurately when planning a painting project.

Paint Cost Geometry Project

Paint Cost Geometry Project

🏠 Part 1: The Garden Shed Project

📦 Part 2: Storage and Unit Conversions

🎨 Part 3: Project Extension

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