3D shapes and their properties

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

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
Favourite

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?
Marbles in a box
problem
Favourite

Marbles in a box

Age
11 to 16
Challenge level
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How many winning lines can you make in a three-dimensional version of noughts and crosses?
Immersion
problem
Favourite

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?
Cubes
problem
Favourite

Cubes

Age
7 to 11
Challenge level
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How many faces can you see when you arrange these three cubes in different ways?
Building with Solid Shapes
problem
Favourite

Building with solid shapes

Age
5 to 7
Challenge level
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We have a box of cubes, triangular prisms, cones, cuboids, cylinders and tetrahedrons. Which of the buildings would fall down if we tried to make them?

Skeleton Shapes
problem
Favourite

Skeleton shapes

Age
5 to 7
Challenge level
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How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

Triple Cubes
problem
Favourite

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.

Triangles to Tetrahedra
problem
Favourite

Triangles to tetrahedra

Age
11 to 14
Challenge level
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Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
Which solids can we make?
problem
Favourite

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?