The ant is not allowed to use rhe ceiling PQRS.

a) Trial 1.

Cut the box such so that you can lay/spread where a portion is like so:

It's a horizontal rectangular diagram whose bottom side is ABQPA and whose top side is DCRSD. D is directly above A, C above B, R above Q, S above P, D above A.

The ant would travel a straight line from A to R.

By Pythagorean theorem,

distance, d^2 = (AB +BQ)^2 +(QR)^2

d = sqrt[(4 +2)^2 +(3)^2] = sqrt(45) = 6.708 meters --------**

a) Trial 2.

Cut the box such so that you can lay/spread where a portion is like so:

It's a vertical rectangular diagram whose left side is ADSPA and whose right side is BCRQB. B is to the right of A, C of D, R of S, Q of P, B of A.

The ant would travel a straight line from A to R.

By Pythagorean theorem,

distance, d^2 = (AB)^2 +(BC +CR)^2

d = sqrt[(4)^2 +(3 +2)^2] = sqrt(41) = 6.403 meters --------**