Packaging
A list of resources covering packing one shape into another, volume, surface area and nets.
- ALL
- Teacher guidance
- Textbook
- Experiment
- Activity sheet
Teacher guidance
Boxes
Mathematical topics covered in these activities include using nets and finding volumes of cuboids, using nets and finding volumes of prisms. Students are asked to find the optimum volume of a box. Finally students are required to design a container and evaluate their design.
Textbook
Nets and Surface Area
The text book covers work on nets and surface area of cubes, cuboids, prisms, pyramids and composite shapes.
The activities sheet has a range of activities including an activity called pyramid packaging in which the student is asked to design pyramids in which will fit different sized cuboids.
The overhead slides file contains anumber of nets which could be useful for display on the whiteboard.
The Applied Maths Pack
Design (page 37)
Students have to design a baked bean can. Includes work calculating the surface area of a closed cylindrical tin.
Boxes (page 44)
A range of problems centred around the net of a cube, its surface area and its volume.
Experiment
Packaging
Activiity 1: What fits in here?
Students are asked to visualise what 3D shape will be produced when a 2D net is folded. The teacher notes give a link to a website containing nets of different designs of boxes.
Activity 2: Four chocolates
Students are given the net of a box that will hold one chicolate and are asked to design a box to hold four chocolates.
Activity 3: It takes the biscuit!
Students begin by working out how to fold the given net into the shape of a carrir bag. The follow up task is for students to design a bag to package a fancy box of biscuits.
Activity sheet
Boxes and Bottles
Activity 1: Boxing stock cubes
Students explore the number of different cuboids that can be made witha constant volume.
Activity 2: Folding cubes
Students have to work out how many unique ways six squares can be fitted together to make the net of a cube.
Activity 3: How much does it hold?
Requires students to estimate the capacity of a range of differently shapes containers. Water and measuring jugs are then required to test how accurate their estimates were.
