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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 _____.
- a)1/4
- b)1/8
- c)1/32
- d)1/16
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider a square sheet of side 1 unit. The sheet is first folded alon...
let us consider a square sheet of side 1 unit.
Now fold the sheet along the main diagonal.
Now fold this along their line of symmetry.
again fold this along their line of symmetry.
The side of the resulting shape = 1/2 unit
Area of resultant shape = 1/2 x side2
Area of resultant shape = 1/2 x side2
Area of resultant shape= 1/2 x 1/2 x 1/2
Area of resultant shape = 1/8
Most Upvoted Answer
Consider a square sheet of side 1 unit. The sheet is first folded alon...
Understanding the Folding Process
To solve the problem, we need to analyze the sequence of folds on the square sheet.
Step 1: First Fold along the Main Diagonal
- When the square sheet (1 unit by 1 unit) is folded along the main diagonal, it forms a right triangle.
- The area of the triangle is half of the original square's area:
- Area = 1/2 square units.
Step 2: Second Fold along the Line of Symmetry
- After the first fold, the triangle is folded again along its line of symmetry (the vertical line through the right angle).
- This fold creates a smaller triangle, which has half the area of the already folded triangle:
- Area = (1/2) * (1/2) = 1/4 square units.
Step 3: Third Fold along the Line of Symmetry
- The final fold is again along the line of symmetry of the current shape (the smaller triangle).
- This results in an even smaller triangle, reducing the area by half once more:
- Area = (1/2) * (1/4) = 1/8 square units.
Final Area of Each Face
- After completing all three folds, the area of each face of the final folded shape is 1/8 square units.
Thus, the correct answer is option 'B': 1/8 square units.
To solve the problem, we need to analyze the sequence of folds on the square sheet.
Step 1: First Fold along the Main Diagonal
- When the square sheet (1 unit by 1 unit) is folded along the main diagonal, it forms a right triangle.
- The area of the triangle is half of the original square's area:
- Area = 1/2 square units.
Step 2: Second Fold along the Line of Symmetry
- After the first fold, the triangle is folded again along its line of symmetry (the vertical line through the right angle).
- This fold creates a smaller triangle, which has half the area of the already folded triangle:
- Area = (1/2) * (1/2) = 1/4 square units.
Step 3: Third Fold along the Line of Symmetry
- The final fold is again along the line of symmetry of the current shape (the smaller triangle).
- This results in an even smaller triangle, reducing the area by half once more:
- Area = (1/2) * (1/4) = 1/8 square units.
Final Area of Each Face
- After completing all three folds, the area of each face of the final folded shape is 1/8 square units.
Thus, the correct answer is option 'B': 1/8 square units.
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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 _____.a)1/4b)1/8c)1/32d)1/16Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about 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 _____.a)1/4b)1/8c)1/32d)1/16Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 _____.a)1/4b)1/8c)1/32d)1/16Correct answer is option 'B'. Can you explain this answer?.
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 _____.a)1/4b)1/8c)1/32d)1/16Correct answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about 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 _____.a)1/4b)1/8c)1/32d)1/16Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 _____.a)1/4b)1/8c)1/32d)1/16Correct answer is option 'B'. Can you explain this answer?.
Solutions for 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 _____.a)1/4b)1/8c)1/32d)1/16Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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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 _____.a)1/4b)1/8c)1/32d)1/16Correct answer is option 'B'. Can you explain this answer?, a detailed solution for 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 _____.a)1/4b)1/8c)1/32d)1/16Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of 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 _____.a)1/4b)1/8c)1/32d)1/16Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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