3D shapes and their properties

problem
Favourite

Which Solids Can We Make?

Age

11 to 14

Challenge level

3 out of 3

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?
problem
Favourite

Marbles in a Box

Age

11 to 16

Challenge level

2 out of 3

How many winning lines can you make in a three-dimensional version of noughts and crosses?
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Favourite

Nine Colours

Age

11 to 16

Challenge level

3 out of 3

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
problem
Favourite

Three Cubes

Age

14 to 16

Challenge level

2 out of 3

Can you work out the dimensions of the three cubes?
problem
Favourite

Immersion

Age

14 to 16

Challenge level

2 out of 3

Various solids are lowered into a beaker of water. How does the water level rise in each case?
problem
Favourite

Fill Me Up Too

Age

14 to 16

Challenge level

2 out of 3

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?
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Favourite

Tet-Trouble

Age

14 to 16

Challenge level

3 out of 3

Is it possible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units?
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Favourite

Funnel

Age

14 to 16

Challenge level

3 out of 3

A plastic funnel is used to pour liquids through narrow apertures. What shape funnel would use the least amount of plastic to manufacture for any specific volume ?
problem

Four Points on a Cube

Age

16 to 18

Challenge level

1 out of 3

What is the surface area of the tetrahedron with one vertex at O the vertex of a unit cube and the other vertices at the centres of the faces of the cube not containing O?
problem

Construct-O-Straws

Age

7 to 11

Challenge level

2 out of 3

Make a cube out of straws and have a go at this practical challenge.