Yes exactly grater thank youThe one with many holes is a potato grater. A smaller version would be a cheese grater, and an even smaller version would be a garlic grater.
There is one with a blade can be called mandoline if you are being fancy, or potato slicer if you are not.
The verb is grate. And the sentence would be: "I grated the potato and carrot." We automatically assume you used "a grater," so no need to put it in -- in fact, we would consider it incorrect and a reason to smirk.And the verb is "grate"?
"I grated the potato and carrot by a grater."