Developments (Leaving Cert DCG): Flashcards

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Developments
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Definition of a development

Unfolding a 3D object's surface onto a flat plane

How fold lines are shown in technical drawings

Dashed lines

Fundamental rule: all lines & surfaces in a development

All lines are true lengths, all surfaces are true shapes

Width of rectangle in cylinder development

Equals the circumference of the cylinder

Shape a cone unfolds into

A sector (part of a circle)

Radius of cone sector in development

Equals the slant height of the cone

What is a truncated prism?

A prism cut at an angle

Shape of pyramid development faces

Triangular faces meeting at a common apex

Generator method for cylinders/cones

Divide circular plan into equal parts and project

Fold lines vs cut edges in developments

Fold lines: dashed; cut edges: solid lines

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