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Mathematics-Online problems:

Interactive Problem 55: Determination of the Vertices of a Cube

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Let a cube have vertices at $ (1,2,3),$ $ (3,3,5),$ and $ (6,3,2)$.
Determine the coordinates of the other vertices.


Answer:

Vertex 1: 1 2 3
Vertex 2:
Vertex 3:
Vertex 4: 3 3 5
Vertex 5:
Vertex 6:
Vertex 7:
Vertex 8: 6 3 2

(Arrange the vertices in ascending order, starting from the first coordinates.)


   

(From: Day of Mathematics 1993)

Solution:

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  automatically generated: 2/ 6/2018