Developments (Leaving Cert DCG): Flashcards

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Developments
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What is a development?

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

Fold lines in technical drawings

Shown as dashed lines

Fundamental rule of developments

All lines true lengths, all surfaces true shapes

Cylinders unfold into

Rectangle (curved surface) + 2 circles (ends)

Cylinder rectangle width equals

Circumference of the cylinder

Pyramids unfold into

Triangular faces meeting at common apex

Cones unfold into

Sectors (part of a circle)

Cone sector radius equals

Slant height of the cone

Fold lines vs cut edges marking

Dashed lines for folds, solid lines for cuts

Arc construction for pyramids - centre point

Apex

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