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Question

A cube of side 3 units has one vertex at point (1,1,1) and the three edges from this vertex are respectively parallel to positive x - axis and negative y and z - axes. Find the coordinates of other vertices of the cube.


Solution

Given a cube of side 3 units has one vertex at point (1,1,1) and 
the three edges from this vertex are respectively parallel to positive x - axis and negative y and z - axes.
So, x-coordinate =1,1+3=1,4
y-ordinate =1,13=1,2.
z-ordinate =1,13=1,2
The remaining coordinates are combination of above pairs:
Thus, the remaining ordinates are =(1,1,2),(1,2,1),(1,2,2),(4,1,1),(4,1,2),(4,2,2),(4,2,1)


Mathematics

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