What are the different shapes the projection of a cube can make under different orientations? Class 8

What are the different shapes the projection of a cube can make under different orientations? Class 8

Question 1.

What are the different shapes the projection of a cube can make under different orientations? Class 8

Solution:

May be square, rhombus, rectangle, parallelogram, hexagon, irregular polygons.

Question 2.

In addition to the 5 ways are there any additional ways of gluing four cubes together along faces? Can you visualise and draw these as well? Class 8

Solution:

Yes. For example,

Arrange 4 cubes in the form of a 2 × 2 × 2 cube with one corner missing as shown below :

Question 3.

Draw the following figures on the isometric grid. Class 8

[Hint : It may be useful to determine whether the edge to be currently drawn — say, along the height — goes from down to up or up to down. Accordingly, draw the line segment on the grid either in the direction of the height axis or opposite to it.]

Solution:

Note : Do as directed.