question:
John built a building from wooden cubes of the same size, with three views shown next to it, using as many cubes as possible. John’s sister Anna wants to delete all cubes that can be deleted without modifying the three views. How many cubes can she eliminate at most?
(A) None (B) 12 (C) 18 (D) 22 (E) 34
explain:
The key to solving this problem is to understand the problem clearly. These views are created using as many cubes as possible.
To achieve the front, right and top views with the maximum number of cubes, here is the layout using LEGO bricks for your reference. You will use 34 blocks to obtain this view, which is the maximum number of blocks used.
The same front, right and top views can be obtained by removing some cubes. For example, we removed 12 cubes but kept the same front, side, and top views. The minimum number of blocks used to get the same view is 22 as shown below.
Therefore, the answer is option B. You can delete 12 cubes and still keep the same view.
I hope this article was useful and thank you for reading!
You may like to read: Kangaroo Math for Kids, Kangaroo Math Grade 3 Practice Questions, and Online Math Courses for Kids
