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GATE 2021 ME (ME2) – Question 9

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 2 marks · Multiple choice

Consider a square sheet of side 1 unit. The sheet is first folded along the main diagonal. This is followed by a fold along its line of symmetry. The resulting folded shape is again folded along its line of symmetry. The area of each face of the final folded shape, in square units, equal to

  1. $1/4$
  2. $1/8$
  3. $1/16$
  4. $1/32$

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Show answer and explanation

Correct answer: (B) $1/8$

Explanation

Each fold halves the planar area of the visible folded shape. Three folds reduce the unit area by a factor 2³.

The area of each face is therefore **1/8 square unit (B)**. Layer count increases, but the requested face area decreases.