How many faces can you see when you arrange these three cubes in different ways?
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.
How can you change the surface area of a cuboid but keep its volume the same? How can you change the volume but keep the surface area the same?
Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?
Can you work out the dimensions of the three cubes?
Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?
A spider is sitting in the middle of one of the smallest walls in a room and a fly is resting beside the window. What is the shortest distance the spider would have to crawl to catch the fly?
A plastic funnel is used to pour liquids through narrow apertures. What shape funnel would use the least amount of plastic to manufacture for any specific volume ?
