Volume and capacity

There are 55 NRICH Mathematical resources connected to Volume and capacity
Colourful Cube
problem
Favourite

Colourful cube

Age
11 to 14
Challenge level
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A colourful cube is made from little red and yellow cubes. But can you work out how many of each?
Compare the Cups
problem
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Compare the cups

Age
5 to 7
Challenge level
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You'll need a collection of cups for this activity.

Bottles (2)
problem
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Bottles (2)

Age
5 to 7
Challenge level
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In this activity focusing on capacity, you will need a collection of different jars and bottles.

Bottles (1)
problem
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Bottles (1)

Age
5 to 7
Challenge level
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For this activity which explores capacity, you will need to collect some bottles and jars.

Changing areas, changing volumes
problem
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Changing areas, changing volumes

Age
11 to 14
Challenge level
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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?
Fill Me Up Too
problem
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Fill me up too

Age
14 to 16
Challenge level
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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?
Discuss and Choose
problem
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Discuss and choose

Age
5 to 11
Challenge level
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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.

Immersion
problem
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Immersion

Age
14 to 16
Challenge level
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Various solids are lowered into a beaker of water. How does the water level rise in each case?
Making Boxes
problem
Favourite

Making boxes

Age
7 to 11
Challenge level
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Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

Making Cuboids
problem
Favourite

Making cuboids

Age
7 to 11
Challenge level
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Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?