3D shapes and their properties

  • Building with Solid Shapes
    problem

    Building with solid shapes

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

    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

    Skeleton shapes

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

    How many balls of modelling clay and how many straws does it take to make these skeleton shapes?

  • Shadow Play
    problem

    Shadow play

    Age
    5 to 7
    Challenge level
    filled star filled star filled star

    Here are shadows of some 3D shapes. What shapes could have made them?

  • 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.

  • 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?
  • Double your popcorn, double your pleasure
    problem

    Double your popcorn, double your pleasure

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    We went to the cinema and decided to buy some bags of popcorn so we asked about the prices. Investigate how much popcorn each bag holds so find out which we might have bought.
  • Building Blocks
    problem

    Building blocks

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

    Here are some pictures of 3D shapes made from cubes. Can you make these shapes yourself?

  • 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?
  • 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?