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IMSO 2019 - Math Division - Exploration Question 6

IMSO Maths · IMSO 2019 - Math Division - Exploration

Question 6

When drawing, engineers use projections to represent 3D objects. For example, the L-shape is represented by three views, which are projections from the front, from the side and from the top.

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Top view; side view; front view:

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An object has the following top view and front view:

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Moreover, it is known that the object is composed of 13 unit cubes. These cubes are connected as one piece via face to face adjacencies. Two cubes are face to face adjacent if they have a common face.

For example, the following shape satisfies all previous conditions.

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Draw all possible side views of this object on your answer sheet.