Conjecturing and generalising

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.