Colourful cube
A colourful cube is made from little red and yellow cubes. But can you work out how many of each?
Sending a parcel
What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?
Cuboid challenge
What's the largest volume of box you can make from a square of paper?
Changing areas, changing volumes
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?
Cuboids
Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
Efficient cutting
Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.
Cola can
An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?
Painted cube