Surface Area and Volume

Efficient Cutting

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

This problem offers an opportunity for students to apply their knowledge of areas and circumferences of circles, and volumes of cylinders.

Fill Me up Too

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Manufacturers need to minimise the amount of material used to make their product. What is the best cross-section for a gutter?