GATE Mechanical 2024 | GA | Question: 9

Question

A planar rectangular paper has two $\text{V}$-shaped pieces attached as shown below.

This piece of paper is folded to make the following closed three-dimensional object.

The number of folds required to form the above object is

• A. $9$
• B. $7$
• C. $11$
• D. $8$

Answer 1

Let's go through a simple counting exercise.

1. We have the intial diagram with no folds.

2. We have the final diagram with the required number of folds.

3. On counting, $7$ folds are there in the final diagram along the planar rectangular paper.

4. $2$ more folds would have been made to make the attached V-shaped pieces vertical.

5. So, the total count of folds $= 7 + 2 = 9$