2D representations of 3D shapes

There are 44 NRICH Mathematical resources connected to 2D representations of 3D shapes
Perspective Drawing
problem

Perspective drawing

Age
11 to 16
Challenge level
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Explore the properties of perspective drawing.
Oblique Projection
problem

Oblique projection

Age
11 to 14
Challenge level
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Explore the properties of oblique projection.
Isometric Drawing
problem

Isometric drawing

Age
11 to 14
Challenge level
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Explore the properties of isometric drawings.
Stadium Sightline
problem

Stadium sightline

Age
14 to 18
Challenge level
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How would you design the tiering of seats in a stadium so that all spectators have a good view?
Weird universes
problem

Weird universes

Age
16 to 18
Challenge level
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Consider these weird universes and ways in which the stick man can shoot the robot in the back.
Placeholder: several colourful numbers
problem

Bent out of shape

Age
14 to 18
Challenge level
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An introduction to bond angle geometry.
The perforated cube
problem

The perforated cube

Age
14 to 16
Challenge level
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A cube is made from smaller cubes, 5 by 5 by 5, then some of those cubes are removed. Can you make the specified shapes, and what is the most and least number of cubes required ?
Air Nets
problem

Air nets

Age
7 to 18
Challenge level
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Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
New House
problem

New house

Age
7 to 11
Challenge level
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In this investigation, you must try to make houses using cubes. If the base must not spill over 4 squares and you have 7 cubes which stand for 7 rooms, what different designs can you come up with?
Stereoisomers
problem

Stereoisomers

Age
16 to 18
Challenge level
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Put your visualisation skills to the test by seeing which of these molecules can be rotated onto each other.