Question:
John made a construction with wooden cubes of the same size, with the three views shown above, using as many cubes as possible. Ana, John´s sister, wants to remove all the cubes she can, without modifying these three views. At most, how many cubes can she remove?
(A) None (B) 12 (C) 18 (D) 22 (E) 34
Explanation:
The key to solving this problem is to understand the question clearly. The views are made using as many cubes as possible.
To achieve the front view, and the right side view, and the top view with the maximum number of cubes, below is the layout used with legos for you to get an idea. You will use 34 blocks to get this view, that is the maximum number of blocks used.
The same front view, right side view, and top view can be achieved by removing some cubes. For example, we removed 12 cubes, and we still retain the same front, side, and top view. The minimum numbers of blocks used to get the same views is 22 as shown below.
So, the answer is option B. You can remove 12 cubes and still retain the same view.
Hope this is useful, thank you for reading!
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