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Representing 3D objects in two dimensions on paper is a vital skill in the Design Technology curriculum, as well as an aspect of Shape and Space in the Maths curriculum. This problem is part of a set of problems which will help students to understand why there are different ways to represent a 3D object in two dimensions, and what maths lies behind each method.
The article 3D Drawing was written to support these problems.
What are the advantages of this method of 3D drawing? What are the disadvantages?
What features of the object are retained in the drawing, which are not?
Students who find isometric drawing straight-forward should be encouraged to tackle the other problems in this set (linked from 3D Drawing) and to compare the various methods.
Can you mentally fit the 7 SOMA pieces together to make a cube? Can you do it in more than one way?
Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
Is it possible to remove ten unit cubes from a 3 by 3 by 3 cube so that the surface area of the remaining solid is the same as the surface area of the original?