Representing 3-D in 2-D
Three-dimensional (3D) solids can be represented in two dimensions (2D) using nets, isometric drawings, or oblique sketches.
Core concept
A net is a flattened, unfolded pattern of a 3D solid that can be folded to form the shape, like a cube's net showing six connected squares.
How it works
Isometric drawings represent 3D objects on paper while maintaining relative proportions, often using isometric dot or grid paper.
Why it matters
Oblique sketches show one face of an object in true shape, with other faces drawn at an angle to suggest depth.
Key detail
Understanding these representations helps us visualise and communicate 3D shapes and structures using 2D drawings, useful in design and construction.
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Quick notes
• A net is a flattened pattern of a 3D solid.
• A cube's net has six connected squares.
• Isometric drawings maintain relative proportions.
• They use isometric dot or grid paper.
• Oblique sketches show one true face with angled depth.
• These represent 3D shapes in 2D.
• This is useful in design and construction.
• Understanding this helps visualise structures.