Volume and capacity

There are 55 NRICH Mathematical resources connected to Volume and capacity

problem

Favourite

Sending a parcel

Age

11 to 14

Challenge level

What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?

problem

Favourite

Growing rectangles

Age

11 to 14

Challenge level

What happens to the area and volume of 2D and 3D shapes when you enlarge them?

problem

Favourite

Efficient cutting

Age

11 to 14

Challenge level

Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

problem

Favourite

Next size up

Age

7 to 11

Challenge level

The challenge for you is to make a string of six (or more!) graded cubes.

problem

Favourite

Thirsty?

Age

5 to 7

Challenge level

Can you lay out the pictures of the drinks in the way described by the clue cards?

problem

Favourite

Three cubes

Age

14 to 16

Challenge level

Can you work out the dimensions of the three cubes?

problem

Favourite

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

Favourite

Fill me up

Age

11 to 14

Challenge level

Can you sketch graphs to show how the height of water changes in different containers as they are filled?

problem

Favourite

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

Place your orders

Age

11 to 14

Challenge level

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

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For younger learners

Volume and capacity

Sending a parcel

Growing rectangles

Efficient cutting

Next size up

Thirsty?

Three cubes

Cola can

Fill me up

Funnel

Place your orders