3D shapes and their properties

  • Guess What?
    problem

    Guess what?

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    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
    filled star filled star empty star

    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
    filled star filled star filled star

    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
    filled star filled star filled star
    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
    filled star empty star empty star

    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
    filled star filled star empty star
    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
    filled star empty star empty star
    Can you find ways of joining cubes together so that 28 faces are visible?
  • Immersion
    problem

    Immersion

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

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