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 ?