Trust exercises first:
a.
Pair up and blindfold one. Then have them give voice commands only to direct the blindfolded from place to the next.
b.
Pair up and have one facing away from the other and they have to fallback and hope the other will catch them.
Team building:
Get a larger rope and 4 people. They all get hold of the rope at waist level, at certain points and can only slide up and down the rope. They have to make a square shape.
The next stage to this is, get them to do it again, but this time a 5th member stands outside the group and directs the activity. The ones holding the rope must follow the 5th's instructions.
'Hopefully' the 2nd exercise emphasizes, that yes, we may get to the goal working on our own, but we will save time and effort if we follow plans, instructions and a good team leader.