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    Spatial Visualization of 3D Objects PYQs for GATE DA

    Solve 2+ Spatial Visualization of 3D Objects previous year questions for GATE DA with answers and detailed solutions. Free sample questions below.

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    Question 1
    2024 PYQ
    Visualize two identical right circular cones such that one is inverted over the other
    and they share a common circular base. If a cutting plane passes through the vertices
    of the assembled cones, what shape does the outer boundary of the
    resulting cross-section make?
    Question 2
    2024 PYQ
    Three different views of a dice are shown in the figure below.
    541463265
    The piece of paper that can be folded to make this dice is
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    Spatial Visualization of 3D Objects PYQs for GATE DA

    Solve 2+ Spatial Visualization of 3D Objects previous year questions for GATE DA with answers and detailed solutions. Free sample questions below.

    Chapter Roadmap: Transformation of Shapes

    By the end of this chapter, you will master the mental manipulation of 3D objects, enabling you to deduce internal 2D boundaries and decode spatial projections reliably.
    1. 3D Cross-Sections and Solid Visualization
    Learn how cutting planes intersect 3D solids to form 2D boundaries. Focus on cones, cylinders, and composite shapes. Weightage: Moderate
    2. Dice Views and Face Adjacency
    Deduce hidden faces and opposite pairs from multiple 2D projections of a standard or non-standard dice. Weightage: Moderate

    Topic Hero: The Essence of 3D Cross-Sections

    The Essence of 3D Cross-Sections
    A cross-section is the two-dimensional intersection of a three-dimensional solid and a plane.
    To visualize this effectively, adopt the Cutting Plane Mental Model:
    1. Identify the Solid: Know the base shape (e.g., cone, cylinder, sphere) and its orientation (upright, inverted, tilted).
    2. Define the Plane: Determine the angle and position of the cut (horizontal, vertical, or diagonal).
    3. Trace the Boundary: Mentally trace where the plane intersects the outer surface of the solid. The resulting closed loop is your cross-section.
    Mastering this eliminates guesswork and replaces it with systematic spatial deduction.

    Spatial Visualization of 3D Objects: Solved Questions with Step-by-Step Explanations (2 Problems)

    Question 1 · Spatial Aptitude · 2024 MCQ
    Visualize two identical right circular cones such that one is inverted over the other
    and they share a common circular base. If a cutting plane passes through the vertices
    of the assembled cones, what shape does the outer boundary of the
    resulting cross-section make?
    1. A.

      A rhombus

    2. B.

      A triangle

    3. C.

      An ellipse

    4. D.

      A hexagon

    Question 2 · Spatial Aptitude · 2024 MCQ
    Three different views of a dice are shown in the figure below.
    541463265
    The piece of paper that can be folded to make this dice is
    1. A. 514623
    2. B. 514263
    3. C. 513246
    4. D. 514632

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