Surface and surface area

There are 25 NRICH Mathematical resources connected to Surface and surface area

problem

Favourite

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?

problem

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Cola can

Age

11 to 14

Challenge level

An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?

problem

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Funnel

Age

14 to 16

Challenge level

A plastic funnel is used to pour liquids through narrow apertures. What shape funnel would use the least amount of plastic to manufacture for any specific volume ?

problem

Favourite

Three cubes

Age

14 to 16

Challenge level

Can you work out the dimensions of the three cubes?

problem

Favourite

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

Favourite

The spider and the fly

Age

14 to 16

Challenge level

A spider is sitting in the middle of one of the smallest walls in a room and a fly is resting beside the window. What is the shortest distance the spider would have to crawl to catch the fly?