Volume and capacity

problem
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
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?
problem
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
More pebbles

Age

7 to 11

Challenge level

Have a go at this 3D extension to the Pebbles problem.
problem
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
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
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
Uniform units

Age

14 to 16

Challenge level

Can you choose your units so that a cube has the same numerical value for it volume, surface area and total edge length?
problem
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?
problem
Brimful 2

Age

16 to 18

Challenge level

Which of these infinitely deep vessels will eventually full up?