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Paint Cost Geometry Project

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Paint Cost Geometry Project

Use the measurements and paint details provided in each question. Show your calculations, include units, and round up when buying whole tins of paint.

Garden Shed Painting

A rectangular shed is 4 m long, 3 m wide and 2.5 m high. Paint all four walls and the flat roof, but leave the floor unpainted. One tin costs $25 and covers 12 m².

1.How many square metres of wall surface does the shed have altogether?

2.What is the area of the shed’s flat roof?

3.Find the total area to be painted, including the roof but excluding the floor.

4.If one tin covers 12 m², how many whole tins are needed to cover 47 m²?

5.At $25 per tin, what is the cost of the tins needed for the shed?

Volume and Storage

Use the same shed dimensions: 4 m long, 3 m wide and 2.5 m high. Each paint tin measures 25 cm × 15 cm × 12 cm.

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

7.Convert the shed’s volume of 30 m³ into cubic centimetres. Use 1 m³ = 1,000,000 cm³.

8.The shed needs 4 tins. Each tin measures 25 cm × 15 cm × 12 cm. What is the combined volume of all four tins?

9.What percentage of the shed’s 30 m³ volume is occupied by the four tins? Convert the tins’ combined volume to cubic metres before calculating.

Project Extension

Apply surface area and percentage reasoning to these painting situations.

10.A tin now costs $25 after a 15% increase from last year. What was its price before the increase? Give your answer to the nearest cent.

11.A cylindrical garden feature has radius 0.5 m and height 2 m. Paint its curved side and both circular ends. Use π ≈ 3.14. If paint costs $25 per tin and one tin covers 12 m², calculate the surface area, the number of tins to buy and the total paint cost.

12.Why should a painter calculate surface area carefully before buying paint?

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More Mathematics Worksheets

Paint Cost Geometry Project

Paint Cost Geometry Project

Garden Shed Painting

Volume and Storage

Project Extension

3 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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