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sqdancefan

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Answer:

  5√13 m

Step-by-step explanation:

The length of the space diagonal is the "Pythagorean sum" of the lengths of the edges of the cuboid.

  AC = √(8² +6² +15²) = √325 = √(13·25)

  AC = 5√13 . . . meters

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AB is the hypotenuse of the right triangle with legs 6 and 8, so is 10 units. AC is the hypotenuse of right triangle ABC, so is ...

  AC = √(AB² +BC²) = √(10² +15²)

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