Question -
Answer -
Given: A cube has side 4 having one vertex at (1, 0, 1)
Side of cube = 5
We need to find the coordinates of the other vertices of the cube.
So let the 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)