You will be given a definition of a task first, then some input of the task.
Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

Problem: there is a rectangular prism made of 1 in cubes that has been covered in tin foil. there are exactly 128 cubes that are not touching any tin foil on any of their sides. if the width of the figure created by these 128 cubes is twice the length and twice the height, what is the measure y in inches of the width of the foil covered prism ?
Options: a. 4, b. 6, c. 8, d. 9, e. 10
Output:
e