Question

Here's an experiment you can try. Start by folding an ordinary sheet of typing paper exactly in half. Then fold it in half over and over again. You will find that, try as you might, you can't fold it more than 6 times. If a single sheet of paper is .01 cm thick, how thick is the last, 6-fold wad of paper?
a. 0.64 cm
b. 1.28 cm
c. 0.6 cm
d. 0.064 cm
e. 0.32 cm

Answer 1

First fold = .02
2nd fold =   .04
3rd fold =   .08
4th fold =    .16
5th fold =     .32
6th fold = .64 cm

Answer 2

Answer:

a. 0.64 cm

Step-by-step explanation:

To understand what happened here, the best thing to do is doing it so you can count the layers.

First, you have a one layer paper 0.1cm thick.

With the first fold, you end with a two-layer paper or 0.2cm thick.

Now, with the second you are folding two-layers over two-layers, this made a four-layer paper so, you have a 2x2 paper thick or 0.4cm thick.

When you fold the third time, the same happened.

For layer paper over for layer paper so you have 2x(4x0.1) paper layers or 0.08cm thick.

Continuing whit this, at the sith fold, you'll have

Fourth time: 2x(8x0.1) layers or 0.16cm thick.

Fifth time: 2x(16x0.1) layers or 0.32cm thick.

Sixth time: 2x(32x0.1) layers or 0.64cm thick.