Question:

Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction \( X \), the planar image of the assembly appears as Figure B. \includegraphics[width=0.5\linewidth]{q9 MA.PNG} If viewed from direction \( Y \), the planar image of the assembly (Figure A) will appear as:

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For visualization problems, carefully align your perspective with the given direction and check how overlapping layers project onto a 2D plane.
Updated On: Feb 1, 2025
  • \includegraphics[width=0.25\linewidth]{q9 1.PNG}
  • \includegraphics[width=0.25\linewidth]{q9 2.PNG}
  • \includegraphics[width=0.25\linewidth]{q9 3.PNG}
  • \includegraphics[width=0.25\linewidth]{q9 4.PNG}
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The Correct Option is A

Solution and Explanation

Step 1: Analyzing the 3D structure from Figure A. The assembly consists of five identical cubes and one smaller cube. Viewing the assembly from direction \( Y \) means observing the structure from the left side as indicated in Figure A. Step 2: Determining the planar projection. - The smaller cube is positioned at the top and to the left in the 3D structure. - The projection from \( Y \) aligns with the arrangement of cubes seen from that angle. - Comparing the options, only option (1) accurately represents the planar projection from \( Y \). Step 3: Conclusion. The planar image of the assembly viewed from direction \( Y \) is \( {(1)} \).
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