3D shapes and their properties

  • Cubes
    problem

    Cubes

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    How many faces can you see when you arrange these three cubes in different ways?
  • Little Boxes
    problem

    Little boxes

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?
  • Cereal Packets
    problem

    Cereal packets

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    How can you put five cereal packets together to make different shapes if you must put them face-to-face?
  • Construct-o-Straws
    problem

    Construct-o-straws

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Make a cube out of straws and have a go at this practical challenge.
  • Thinking 3D
    article

    Thinking 3D

    How can we as teachers begin to introduce 3D ideas to young children? Where do they start? How can we lay the foundations for a later enthusiasm for working in three dimensions?

  • Mouhefanggai
    article

    Mouhefanggai

    Imagine two identical cylindrical pipes meeting at right angles and think about the shape of the space which belongs to both pipes. Early Chinese mathematicians call this shape the mouhefanggai.
  • Volume of a Pyramid and a Cone
    article

    Volume of a pyramid and a cone

    These formulae are often quoted, but rarely proved. In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts.
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