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Three Cubes

Can you work out the dimensions of the three cubes?


At the corner of the cube circular arcs are drawn and the area enclosed shaded. What fraction of the surface area of the cube is shaded? Try working out the answer without recourse to pencil and paper.

Cubic Conundrum

Which of the following cubes can be made from these nets?

Peeling the Apple or the Cone That Lost Its Head

Age 14 to 16 Challenge Level:

Make some real cones.

Cut out the centre circle sector before you curve the paper into a fustum shape.