Volume and capacity

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.

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

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

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

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

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

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

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

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

Which of these infinitely deep vessels will eventually full up?