Discussion
In Panel I of the figure below, the front view and top view of a structure are shown. Which one of the 3D structures shown in Panel II possesses the views shown in Panel I?
- A.
- B.
- C.
- D.
Answer: D
The key gives (iv). I could check (iv) against the two views and exclude (iii); I could not exclude (i) and (ii) as firmly from the drawings alone.
Reading Panel I: the front view has three columns whose tallest heights are 3, 2 and 2 units, with only the left column reaching the top. The top view is a 3 by 3 footprint with the front-right corner missing, and the left column is split into a long back piece and a small front piece.
Structure (iv) fits this: it has one tall cube at the back left, a two-high column in front of it, a two-wide step behind at height 2, and a lower cube at the right that is set back from the front, which leaves the front-right corner empty. Structure (iii) has a second tall column near the middle, which would show a height of 3 in the middle column of the front view, and the views do not allow that.
This is a figure question, so the explanation is from the drawings only; no published solution was found to confirm the key independently.
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