You may also like

problem icon

Take Ten

Is it possible to remove ten unit cubes from a 3 by 3 by 3 cube made from 27 unit cubes so that the surface area of the remaining solid is the same as the surface area of the original 3 by 3 by 3 cube?

problem icon

Rhombicubocts

Each of these solids is made up with 3 squares and a triangle around each vertex. Each has a total of 18 square faces and 8 faces that are equilateral triangles. How many faces, edges and vertices does each solid have?

problem icon

Cut Nets

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

Lighting up Time

Stage: 2 and 3 Challenge Level: Challenge Level:1

This lampshade was photographed in Rimini in Italy. In Africa candle holders exactly like this are often made from wire.

Lampsahde
  • Do you know the mathematical name for this shape?
  • Can you see lots of triangles?
  • What "type" of triangles are they and how many of them were needed to make this lampshade?
  • What other shapes can you see?
  • Could you make a polyhedron like this from card? How would you do it?

There's another image you might like to take a look at in the Notes .