Answer :

Given: A cube has side 4 having one vertex at (1, 0, 1)


To find: coordinates of the other vertices of the cube.


Let Point A(1, 0, 1) and AB, AD and AE is parallel to –ve x-axis, -ve y-axis and +ve z-axis respectively



Since side of cube = 5


Point B is (-4, 0, 1)


Point D is (1, -5, 1)


Point E is (1, 0, 6)


Now, EH is parallel to –ve y-axis


Point H is (1, -5, 6)


HG is parallel to –ve x-axis


Point G is (-4, -5, 6)


Now, again GC and GF is parallel to –ve z-axis and +ve y-axis respectively


Point C is (-4, -5, 1)


Point F is (-4, 0, 6)


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