Question:

The rectilinear hollow box shown on the left is cut along plane 1 and plane 2. Which of the option(s) show(s) correct unfolded pieces?
Hollow box

Updated On: Sep 8, 2025
  • Piece1
  • Piece2
  • Piece3
  • Piece4
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The Correct Option is B, C

Solution and Explanation

To solve this problem, we need to analyze how the rectilinear hollow box is cut along the specified planes and identify which options correctly represent the unfolded pieces. Let’s break down the process:
  • Step 1: Examine the provided image of the rectilinear hollow box, noting the marked planes for cutting. Plane 1 and Plane 2 indicate where the box will be sliced to create separate segments.
  • Step 2: Visualize the result of these cuts. Cutting along these planes would produce two distinct pieces.
  • Step 3: Compare these visualized segments to the provided options of unfolded pieces. We need to determine which ones precisely match the expected shapes after cutting.
  • Step 4: Evaluate each option:
    Piece1
    Option 1 does not correctly represent a possible piece formed by the cuts.
    Piece2
    Option 2 accurately depicts one of the unfolded pieces as a result of the cuts.
    Piece3
    Option 3 accurately represents the second unfolded piece.
    Piece4
    Option 4 does not match any plausible unfolded piece.
  • Conclusion: Options 2 and 3 correctly portray the unfolded shapes formed from the cuts of the rectilinear hollow box.
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