Spheres, cylinders and cones

  • problem
    Favourite

    Funnel

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

    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 ?

  • Packing 3D shapes
    problem

    Packing 3D shapes

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

    What 3D shapes occur in nature. How efficiently can you pack these shapes together?