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Geometry In Design - McGraw-Hill Ryerson

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Key Concepts<br />

• <strong>Design</strong> problems are often subject to constraints or conditions.<br />

• Constraints may include cost considerations, safety regulations,<br />

maximum or minimum sizes, or performance requirements.<br />

Discuss the Concepts<br />

D1. A fashion designer is to design a new line of sunglasses to<br />

complement a clothing line. Discuss some of the constraints<br />

that she might face during the design stage.<br />

D2. The highest mountain in Africa is<br />

Mt. Kilimanjaro in Tanzania. On the<br />

Marangu hiking route to the top,<br />

climbers spend the night in huts<br />

designed by Norwegian architects.<br />

There is no road. The trail is the<br />

only route to the huts.<br />

Discuss some of the constraints that the architects faced when<br />

designing the huts.<br />

Practise<br />

A<br />

1. A new laundry detergent will be sold in a cubical box. The box holds<br />

1 L of detergent. Find the side length of the box.<br />

2. A factory temporarily stores liquid wastes in a circular cement-lined<br />

pond that has a base area of 500 m 2 . Find the length of berm needed<br />

to enclose the pond.<br />

3. Santo’s Pizzeria is introducing a new giant-size pizza with a diameter<br />

of 24 in. Give possible reasons why the pizza will be packaged in an<br />

octagonal box rather than a square box.<br />

4. Prefabricated housing for developing countries with warm climates is<br />

often made of galvanized sheet metal. Discuss some of the constraints<br />

that might affect the designers of this type of housing.<br />

50 MHR • Chapter 6

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