Largest paper box
This inquiry involves students investigating volume. By asking for the ‘largest’ box rather than the box with the greatest volume, students need to work out what to measure to compare their boxes. Many focus on the 2D area of the base of the box and don’t know how to include the height as well. Once they realise it is the space inside the box they can be helped to see this as a 3D measurement requiring consideration of all three dimensions – length, width and height (or depth). There is potential for this inquiry to delve into algebra and optimisation if the size of the corner removed is considered systematically compared to the volume.