In a list of ingredients you'd have something like the following :
5 grams of flour
2 cups of lemon juice
10 slices of meat
What word would you use to describe 'grams', 'cups' and 'slices' in the previous examples?
This works well for grams and fluid oz but doesn't seem right when describing something like cups, slices or bunches although that might just be me.
Measure to me sounded unique enough but can get confused with the verb form as well as a measure used in cocktail making.
This seemed more appropriate for something that you'd measured, the thing that you measured is a measurement.