problem
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?
problem
Cuboid challenge
Age
11 to 16
Challenge level
What's the largest volume of box you can make from a square of paper?
problem
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?