Question

It is a widely held belief that a typical piece of printer paper with a thickness of 0.1 mm can go through at most 7 folds. When folding a piece of paper in half, the number of layers doubles with each fold, which also doubles the thickness. Sylvia is testing this theory and employing a hydraulic press in order to ensure each fold is as tight as possible. If Sylvia is successful in folding the paper completely, determine the thickness of her piece of printer paper after being folded in half 7 times.

Answer 1

Number of layers is 2^7 = 128 layers

thickness is 128*0.1 = 12.8mm

Final answer is 12.8mm

Answer 2

Concept:

If a number doubles itself with every step, the number will become 2ⁿ after n steps.

Given:

Thickness of the paper = 0.1 mm

It can go through at most 7 folds that is n = 7.

Find:

If the paper is completely fold, then what is the thickness of the paper.

Step-by-step explanation:

We will first find the number of layers:

Number of layers = 2ⁿ

Number of layers = 2⁷

Number of layers = 128 layers

Thickness of 1 layer = 0.1 mm

Thickness of 128 layers = 128 × 0.1

Thickness = 12.8 mm

Therefore, the thickness will be 12.8 mm.

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