3D Shapes

  • Triangles to Tetrahedra
    problem
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    Triangles to Tetrahedra

    Age
    11 to 14
    Challenge level

    Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

  • problem
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    Marbles in a Box

    Age
    11 to 16
    Challenge level

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

  • Nine Colours
    problem
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    Nine Colours

    Age
    11 to 16
    Challenge level

    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?

  • Tet-Trouble
    problem
    Favourite

    Tet-Trouble

    Age
    14 to 16
    Challenge level

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

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