A room has dimensions 2.20 m (height) 3.55 (width) m 4.60 (length) m. A fly star

Question

A room has dimensions 2.20 m (height) 3.55 (width) m 4.60 (length) m. A fly starting at one corner flies around, ending up at the diagonally opposite corner.

(a) What is the magnitude of its displacement? 6.21m

(b) Could the length of its path be less than this magnitude? NO

(c) Could the length of its path be greater than this magnitude? YES

(d) Could the length of its path be equal to this magnitude? YES

(e) Take xyz axes so that the x axis is parallel to the width, the y axis is parallel to the length, and the z axis is parallel to the height. Express the components of the displacement vector. (3.55m,4.60m,2.20m)

(f) 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 the walls and flatten them into a plane.) ?m

as you can see, i have all the answers to this question besides question f. tried it three times and cant figure it out. SOMEONE PLEASE ANSWER F!!!

Explanation / Answer

it should be (2.22+3.552)1/2+4.6=8.77m

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