Volume and capacity

There are 55 NRICH Mathematical resources connected to Volume and capacity

problem

Favourite

Colourful cube

Age

11 to 14

Challenge level

A colourful cube is made from little red and yellow cubes. But can you work out how many of each?

problem

Favourite

Compare the cups

Age

5 to 7

Challenge level

You'll need a collection of cups for this activity.

problem

Favourite

Bottles (2)

Age

5 to 7

Challenge level

In this activity focusing on capacity, you will need a collection of different jars and bottles.

problem

Favourite

Bottles (1)

Age

5 to 7

Challenge level

For this activity which explores capacity, you will need to collect some bottles and jars.

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

Favourite

Fill me up too

Age

14 to 16

Challenge level

In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?

problem

Favourite

Discuss and choose

Age

5 to 11

Challenge level

This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

problem

Favourite

Thousands and millions

Age

11 to 14

Challenge level

Here's a chance to work with large numbers...

problem

Favourite

Cuboid challenge

Age

11 to 16

Challenge level

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

problem

Favourite

Immersion

Age

14 to 16

Challenge level

Various solids are lowered into a beaker of water. How does the water level rise in each case?

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For younger learners

Volume and capacity

Colourful cube

Compare the cups

Bottles (2)

Bottles (1)

Changing areas, changing volumes

Fill me up too

Discuss and choose

Thousands and millions

Cuboid challenge

Immersion