Development of Oblique Solids (Leaving Cert DCG): Flashcards

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Development of Oblique Solids
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Oblique solid definition

3D shape where edges/sides not perpendicular to base (slanted/tilted)

Development (net) of a solid

Flat pattern from unfolding all surfaces onto flat plane

True length

Actual measurement of edge in 3D space, not foreshortened

Three main views for oblique solids

Plan view, elevation view, development

Generators (cylinders/cones)

Straight lines running along curved surface

Oblique prism structure

Polygonal bases with parallelogram-shaped side faces

Oblique cylinder structure

Circular bases with curved surface slanting at angle

Oblique cone structure

Circular base, apex not directly above centre of base

Oblique pyramid structure

Polygonal base, triangular faces meet at non-centered apex

Why avoid plan/elevation measurements for oblique solids?

Foreshortening makes development inaccurate and impossible to fold correctly

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