Measurement Outdoor Chess Piece - Curved Surface - Mathematics Assignment Help

Assignment Task :

Part One – The Design

Create a design following the guidelines above. Use technology to design the piece or alternatively sketch it. 

Include all of the relevant measurements (lengths/heights/depths of shapes used etc.)

Have your design approved by your teacher before you proceed with the investigation.

Part Two – Estimating and Calculating Volume

1. Consider what kind of simple solid would have approximately the same volume as your chess piece design. Using a few appropriate measurements from your design and your chosen approximate shape, find an estimate of the volume of the piece. You will need to show the process you used to do this.

2. Carry out all the calculations needed to find the actual volume of the chess piece designed. You must show all working, formulas used, and measurement units. Set calculations out clearly.

3. Compare your answers for parts a) and b) and discuss how accurate your prediction was. Are there are any ways that you could make a more accurate prediction without carrying out the full calculations?

Part Three – Calculating Surface Area

Carry out all the calculations needed to find the surface area that would need to be painted to protect and decorate your chess piece (this area includes all surfaces that are exposed to the air). As in Part Two, you must show all working, formulas used and measurement units, and set the calculations out clearly.
 

Part Four – Calculating Cost

The lightweight concrete has a density of 0.0823 g/cm3 and costs $18.50 for a 10 kg bag. The special concrete sealant costs $64 per 5 Litre bucket with coverage being 1 Litre per square metre. The decorative paint used to paint the chess piece comes in an assortment of colours and is priced at $27.25 for a 500ml tin and the paint covers 3 m2 per litre. Generally, at least two coats of paint are required for a good finish.

Use this information to calculate the cost of the materials for making, sealing and painting your chess piece. Show all calculations. To increase the complexity of your assignment you could include approximate labour costs in making your chess piece.

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