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A spider is sitting in the middle of one of the smallest walls in my living room and a fly is resting by the side of the window on the opposite wall, 1.5m above the ground and 0.5m from the adjacent wall.
The room is 5m long, 4m wide and 2.5m high.
What is the shortest distance the spider would have to crawl to catch the fly?
If the fly walks down the wall, is there a point at which the spider would be better changing its route?
Can you work out the dimensions of the three cubes?
Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
How many winning lines can you make in a three-dimensional version of noughts and crosses?