Final answer:
To bake two batches of cornbread, you need to double the amount of vegetable oil in the recipe, which results in (2/3) cup of vegetable oil.
Step-by-step explanation:
If the recipe calls for (1/3) cup of vegetable oil for one batch of cornbread, to bake two batches, you simply need to double the amount of vegetable oil required. Calculating this, you have:
(1/3) cup × 2 = (2/3) cup of vegetable oil.
Therefore, the total amount of vegetable oil needed to bake two batches of cornbread is (2/3) cup.