List

Surface Area and Volume

Painted Cube
problem
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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?
Changing areas, changing volumes
problem
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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
Favourite

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?