



 
The key to this is to draw a really good diagram. Color the parts of the exclusion zone that are nearest a corner one color. Color the parts nearest an edge another color. If you've done this right you should have three pieces of one shape and three of another. Three will be easy to find the area of. The other three are easier if you move them around first and fit them together. If you have really understood this, you should be able to find the area of a 1km exclusion zone around _my_ island, which is a convex pentagon with edges of 3, 4, 5, 6 and 7 kilometers. But its exact shape is secret. If you have really, _really_ understood it, you should be able to find the volume of the exclusion zone around my asteroid, which is in the shape of a square pyramid with all edges 1 km long! Good Hunting!  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 