SOLUTION: Find the length of the diagonal of a side of a cubic packing crate whose volume is 2 cubic meters.

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Question 315158: Find the length of the diagonal of a side of a cubic packing crate whose volume is 2 cubic meters.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a cube is,
V=s%5E3=2
s=root%283%2C2%29
The distance of the diagonal is the same as the distance from (0,0,0) to ( root%283%2C2%29,root%283%2C2%29,root%283%2C2%29)
Use the distance formula,
D%5E2=%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%2B%28z2-z1%29%5E2

D%5E2=3%2A%28root%283%2C2%29%29%5E2
D=sqrt%283%29%2A%28root%283%2C2%29%29