Question

How many times do we need to fold a paper to get a stack with the following heights?

Answer 1

A standard piece of printer paper is about 0.1 millimeters thick. Every time you fold it, it doubles in thickness. There are 304.8 millimeters in a foot, and 5,280 feet in a mile.

That’s everything you need to find your answers.

Answer 2

Consider the following.

We can calculate the height depending on initial height (ie thickness, denoted h\_0) and number of folds.

So, h(n) = h\_0 \* 2\^n

So, if you want to solve this for the number of folds, you get

log\_2 (h(n) / h\_0) = n

Now only plug in h(n) for the height you wanna calculate and h\_0 for the thickness of your "material".