Should you take extra tasks when your work pressure is low to help your manager alleviate his work load ?

I, as a former manager, would not give “my” work to anyone else.
If an employee had completed all their tasks for the day, I would definitely find some other work for them to do.
First, I would give them an “atta’ boy/girl” for completing all their work ahead of schedule (I would also make a notation in my files that is person has demonstrated excellent work skills and maybe ready to tackle more complex assignments in the future).
My work was assign to me by my boss and they expect to see my hand prints on the outcome.
They be elevating my abilities, so again, it would be unethically for me to share a responsibly given specifically and then take all the credit.
A worker with time on their hands is being poorly utilized and that would be poor task assignment by me.
I would check with their co-workers and see if there was work this person could help with.
I have had this happen to me and I have always found other work for them to do.

In my previous experience, often Managers would assign work to team members who have low work pressure.
Although this is a good practice so as to avoid any delays in completing important tasks, it is also important for each team member to prepare for tasks expected of them in the near future.
For example: in many companies, manpower and staff recruitments are planned for an entire year.
If the current requirements for the first quarter have been met (resulting in low work pressure) then the team must plan and prepare for the next quarters recruitments.

of course i would like to do so, if it is a bonus time.

I you have as you would say LOW WORK PRESSURE then assuming you have a good manager,  you have completed all assigned tasked way ahead of schedule.   I don;t believe in taking in extra load to assist your manager,  becuase if your manager has too much load then maybe he failed in his delegation.   A good manager should be able to utilize his team properly and assigning all workload uniformly without putting any of his team member with due disadvantage.   For example, if a team member is performing exceptionally well and completing all task way ahead of his schedule,  then you tend to assign him more task because he can complete it, this would be very UNFAIR to that team member.   The best approach of the manager is to praise or reward him with all the other team members knowing to be a good example and motivate the others to perform if not above at least at par with this member.

 

Yes one should definately try to do more and help others in work place but at the same with due intelligence never ever comprise your work and do something for others becaue you are responsible for your work and you have been designated that work because of your capabilities in that sphere and you are whole soul to be accountable to that so don' t ever comprise for your work where as even if you curtiously take extra tasks make sure you give your100%, because others trust you for it and legally they are accountable.