Cupid the Caterpillar
A cubical room has edge length 10 feet with A and B denoting two corners that are farthest apart. A caterpillar named Cupid decides that he wants to crawls from corner A to corner B along the walls. In feet, what is the length of the shortest path from A to B that the caterpillar may have taken? If your answer is find .
The answer is 15.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
The shortest distance between two points is a straight line. Open out the room into a 2d open box shape. The straight line joining them is the hypotenuse of a right triangle with sides of length 20 and 10. The hypotenuse is then 10 sqrt5. The answer is 10+5=15.