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Geometry In Design - McGraw-Hill Ryerson

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Chapter Problem Wrap-Up<br />

Paul has learned a lot about geometry and<br />

architecture during his coop placement. Choose<br />

a design project of your own, similar to the projects<br />

you have worked on throughout this chapter. It<br />

could be a building or structure, a package, or an<br />

item of clothing.<br />

a) Write a plan for your project. <strong>In</strong>clude at least four<br />

geometric elements in the design. Describe the<br />

constraints on your project and how you can meet them.<br />

b) Draw an isometric perspective drawing or a set of orthographic drawings<br />

for your project.<br />

c) Calculate the project’s dimensions. Draw a pattern or a net. Build a scale<br />

model of your project.<br />

d) Write a summary of your project. <strong>In</strong>clude your drawings and model. Show all<br />

your calculations and measurements.<br />

7. An isometric perspective drawing for<br />

a new building is shown. The distance<br />

between pairs of dots represents 5 m.<br />

Draw orthographic drawings for the<br />

building.<br />

8. A gift box for a travel mug will have a<br />

square base with side length 4 in. and a<br />

square lid with side length 6 in. The box<br />

must be 5 in. high. Select a scale, and<br />

sketch nets that can be used to make a<br />

model of the box and the lid. Show all<br />

measurements on the net.<br />

9. A new tomato juice can is being designed<br />

such that the ratio of the height to the<br />

diameter is equal to the golden ratio. The<br />

diameter will be 12 cm.<br />

a) Select a scale, and draw a net that<br />

could be used to make a scale model<br />

of the can.<br />

b) Determine the volume of tomato juice<br />

that the can will hold.<br />

Chapter 6 Practice Test • MHR 59

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