The correct answer is A. The work will be done by him tomorrow.
The other options are incorrect because they do not accurately reflect the meaning of the original sentence.
Option B, “The work would be done by him tomorrow,” is in the past tense. This is incorrect because the original sentence is in the future tense.
Option C, “The work would have been done by him tomorrow,” is in the past perfect tense. This is incorrect because the original sentence does not indicate that the work has already been done.
Option D, “The work will have been done by him tomorrow,” is in the future perfect tense. This is incorrect because the original sentence does not indicate that the work will be completed by a specific time.
In conclusion, the correct answer is A. The work will be done by him tomorrow.