Cuboids

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

 
 
Find a cuboid (with edges of whole number lengths) that has a surface area of exactly $100$ square units.
 
Is there more than one?

Can you find them all?

Can you provide a convincing argument that you have found them all?

A poster of this problem is available here.


Published October 2004.