In rectangular parallelepiped ABCDA1B1C1D1 it is known that AA1 = 24, AB = 3, B1C1 = 12. Find the length of the diagonal CA1.
| April 25, 2021 | education
The square of the diagonal of a parallelepiped is equal to the sum of the squares of its three dimensions.
CA1 ^ 2 = AA1 ^ 2 + AB ^ 2 + B1C1 ^ 2 = 576 + 9 + 144 = 729.
CA1 = 27 cm.
Answer: The length of the CA1 diagonal is 27 cm.
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