3D shapes and their properties

There are 49 NRICH Mathematical resources connected to 3D shapes and their properties
Guess What?
problem

Guess What?

Age
7 to 11
Challenge level
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Can you find out which 3D shape your partner has chosen before they work out your shape?
Fill Me Up Too
problem

Fill Me Up Too

Age
14 to 16
Challenge level
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In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?
Which solids can we make?
problem

Which solids can we make?

Age
11 to 14
Challenge level
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Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
Auditorium Steps
problem

Auditorium Steps

Age
7 to 14
Challenge level
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What is the shape of wrapping paper that you would need to completely wrap this model?
Triple Cubes
problem

Triple Cubes

Age
5 to 11
Challenge level
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This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.
Moving Squares
problem

Moving Squares

Age
14 to 16
Challenge level
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How can you represent the curvature of a cylinder on a flat piece of paper?
28 - upward and onward
problem

28 - upward and onward

Age
7 to 11
Challenge level
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Can you find ways of joining cubes together so that 28 faces are visible?
Immersion
problem

Immersion

Age
14 to 16
Challenge level
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Various solids are lowered into a beaker of water. How does the water level rise in each case?