Discussion
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.
If viewed from direction Y, the planar image of the assembly (Figure A) will appear as
- A.
- B.
- C.
- D.
Answer: A
The view from Y is (A).
Seen from direction Y, the column holding the upper cube appears as two squares stacked on the right, and the other column as a single square on the left. The small cube rests on the lower layer directly in front of the upper cube, on the side nearer the viewer, so it hides part of the upper cube's face and shows as a small square at the bottom of the upper square.
In Figure A the small cube sits against the half of the upper cube that is on the right as seen from Y (Figure B confirms it occupies only a corner of its quarter), so the small square sits at the lower right of the upper square, as in (A). (C) puts it on the wrong side, (D) puts it outside the upper cube, and (B) shows a full-height dividing line that no edge of the assembly produces.
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