List

Surface area and volume

Changing areas, changing volumes
problem

Changing areas, changing volumes

Age
11 to 14
Challenge level
filled star filled star empty star

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?

Cuboid challenge
problem

Cuboid challenge

Age
11 to 16
Challenge level
filled star filled star empty star

What's the largest volume of box you can make from a square of paper?

Painted Cube
problem

Painted cube

Age
14 to 16
Challenge level
filled star filled star empty star

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?