Spatial Reasoning Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
If you fold a square piece of paper in half and then in half again (both folds along the middle), how many layers of paper are there when unfolded? How many crease lines are visible?

Solution

  1. 1
    Step 1: First fold doubles layers: 1โ†’21 \to 2 layers, creating 11 crease.
  2. 2
    Step 2: Second fold doubles again: 2โ†’42 \to 4 layers, creating another crease. Total 22 creases.

Answer

44 layers; 22 crease lines.
Each fold doubles the number of layers. After nn folds there are 2n2^n layers. Two folds give 22=42^2 = 4 layers and leave 22 visible fold lines when unfolded.

About Spatial Reasoning

The cognitive ability to visualize, manipulate, and reason about two- and three-dimensional objects mentally in space.

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