SOLUTION: A diagonal of a cube joins two vertices not in the same face. If the diagonals are 6 cm. long, what is the volume?

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Question 1035732: A diagonal of a cube joins two vertices not in the same face. If the diagonals are 6 cm. long, what is the volume?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal of a cube is sqrt(3) times one side.
Thus, the side s is s+=+6%2Fsqrt%283%29
Volume for a cube of side s is
V+=+s%5E3
Here that is
V+=+%286%2Fsqrt%283%29%29%5E3+=+41.57 cm^3