A room has dimensions 2.85 m (height) × 5.93 m × 6.29 m. A fly starting at one corner flies around, ending up at the diagonally opposite corner. (a) What is the magnitude of its displacement? (b) If the fly walks rather than flies, what is the length of the shortest path it can take? (Hint: This can be answered without calculus. The room is like a box. Unfold its walls to flatten them into a plane.)
HINT:Put the origin of an xyz coordinate system at the starting corner; let the axes extend along the room edges.
To find the shortest path for walking, unfold the room like a box, laying out its sides and marking the start and finish points. If you unfold it the right way, you need only the Pythagorean theorem.
The Attempt at a Solution
For Part A, I got 6.58 m, but this answer came up wrong on the HW program.