In this Core Maths task students investigate how to make a box of maximum volume from a given square of card. The ultimate objective is to model a method to work out a box of maximum volume for any size of rectangle.
The activity sheet outlines the task for students.
The first set of teachers' notes outlines the task and suggests opportunities for collaboration, discussion and independent work on graphs, algebra and spreadsheets.
The other set of teachers' notes has clear suggestions about the role of the teacher in this activity and shows examples of possible spreadsheet formulae, graphs and data. It also shows a possible use of calculus to solve the problem.