the powerpoint has an example using an actual box that was shown to students











an American, wind-turbine holding kit supplied without the wire

Henry Dudeney posed a slightly more complex version of this problem ('Spider and Fly') in an English newspaper (Weekly Dispatch) on 14th June 1903

“Inside a rectangular room, measuring 30 feet in length and 12 feet in width and height, a spider is at a point on the middle of one of the end walls, 1 foot from the ceiling, at A, and a fly is on the opposite wall, 1 foot from the floor in the centre at B. What is the shortest distance that the spider must crawl in order to reach the fly, which remains stationary? ”

it later appeared in his collection, 'Canterbury Puzzles' in 1908

Christopher J Bradley, amongst his other helpful works, lists some values for the dimensions of a cuboid that give integer length longest diagonals























for values of 'd' less than 20
and with the dimensions of the cuboid being 'a', 'b' and 'c'
what are the missing (integer) lengths?