Find the lengths of the diagonals of a rectangular parallelepiped by its three dimensions: 8cm, 9cm and 12cm.

The length l of the diagonal of a rectangular parallelepiped with sides a, b and c can be determined by the formula

l = √ (a ^ 2 + b ^ 2 + c ^ 2).

The length of the diagonal of a given rectangular parallelepiped is

l = √ (8 ^ 2 + 9 ^ 2 + 12 ^ 2) = √ (289) = 17 cm.

P. S. The specified formula can be derived through the Pythagorean theorem.



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