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Surface Area and Volume
Painted Cube
Age 14 to 16
Challenge Level 
Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?
Cuboid Challenge
Age 11 to 16
Challenge Level
What's the largest volume of box you can make from a square of paper?
Changing Areas, Changing Volumes
Age 11 to 14
Challenge Level
How can you change the surface area of a cuboid but keep its volume the same? How can you change the volume but keep the surface area the same?