These cubes can be drawn on dotty paper. Copy this drawing and, with a bit of practice, you will be able to draw cubes on dotty paper.
This triangular pattern of dots is called isometric because the distances between any 2 adjacent dots are all the same.
How many different arrangements can you find?
Draw your arrangements on dotty paper.
These are plan and elevation drawings which are important in architecture and engineering.
Draw plan and elevation drawings for the other buildings that you have made from 4 cubes.
The yellow object below made from 4 cubes is the same as the red one above but they have different plans and elevations. Why? Now draw plan and elevation drawings for these solid objects.
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This problem is adapted from the NRICH task The Third Dimension with permission of the University of Cambridge. All rights reserved.