23 Apr 2013

Paths on a Cube: Lower Secondary Mathematics Competition Question

Below is a diagram of a large cube constructed from eight smaller cubes. Each small cube has a side length of 2 cm. An ant wishes to travel from point Q to point S. The figure shows two routes: QRS and QTS.

Which of the two routes is the shortest and by how much?

Also, if the ant was able to burrow its way through the cubes, what would be the shortest direct straight-line distance from Q to S?







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