Skip over navigation
Surface Area and Volume
Fill Me up Too
Age 14 to 16
Challenge Level 
This problem gives students the opportunity to use volume scale factors of enlargement to work out the relationship between the volume and the height of a cone.
Gutter
Age 14 to 16
Challenge Level
Manufacturers need to minimise the amount of material used to make their product. What is the best cross-section for a gutter?
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?
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 ?