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Congratulations!! You are the winner of one of six fabulous contemporary home and land packages in the town of your choice. The award winning architecturally designed home is shown below. It features an innovative 21° sloping skillion roof and panoramic front windows to make the most of the spectacular ocean views. It has a cutting edge design and is environmentally friendly throughout.
The Overview: The house and land package you have won is shown on the next page. A scale overhead view has been produced. The features shown include:  1. 2. 3. 4. 5.
A block of land measuring 45m x 18m. The position of the house. The site of four underground cylindrical 2m deep rain water tanks. A locally quarried hand laid stone driveway. A fenced pool enclosure. An uncovered timber deck.
Your brief is to install a pool according to local council regulations. Your house is situated in either: Ballina
Laurieton
Port Macquarie
Casino
Kiama Coffs Harbour
The Research: You will need to research
What is a skillion roof? Hence, decide if it impacts on your calculations: o http://en.wikipedia.org/wiki/Skillion_roof Simpson’s Rule and its use in calculating the area of curved sided shapes: o http://www.mathsonline.com.au/students/v2/?countryId=1 (Note: Mathsonline Login required) o Email “Simpson’s Rule: Brief notes and examples” NSW Weather records: o http://www.bom.gov.au/climate/averages/tables/ca_nsw_names.shtml
The Task:
From the Scale diagram find the dimensions of the pool enclosure. Choose a pool from the following four lagoon style designs.
Design 1:
Design 2:
Design 3:
Design 4:
On A4 grid paper draw a large free hand scale diagram of the pool showing its position within the pool enclosure. Note: Council regulations state that “a pool must not be within one metre of a pool or boundary fence”. Divide your pool approximately in half by drawing a horizontal line. On your diagram draw and label all the necessary measurements needed to calculate the total area of the pool surface by applying Simpson’s Rule twice to each half of the pool. Calculate the capacity of your pool in litres. Note: All the pool designs have vertical sides and are 1.2m deep.
The Task (continued): Council’s new environmental regulations also state that after an application to install a swimming pool has been lodged, work may only begin when the landowner shows that they have collected the equivalent amount of rainwater that would be needed to fill the pool.
What is the capacity of one rainwater tank? How many water tanks full of rainwater will need to be collect to fill your pool? Using the original scale diagram and allowing for its skillion nature, accurately find the area of your house’s roof. If water is only collected from the roof. Calculate the amount of water that will be collected if 1mm of rain falls. Calculate the amount of rain that will need to fall for you to collect sufficient rainwater so that work on the pool may start. Choose one town from the list above. Produce a hand drawn graph to represent the mean monthly rainfall figures for the town you have researched. If you make the application to install a pool on 1st September 2011, use the monthly averages to determine when work should be able to start?
The Conclusion: Briefly discuss what effect varying weather patterns could have on your result?
Formulae and Conversions:
Simpson’s Rule
A
h d f 4d m d l 3
Volume of a cylinder
V r 2h
Volume of a prism
V lbh
1 m3 = 1000 litre
1 litre = 1000cm3