The dimensions of a rectangular parallelepiped are 8.10.4 √2. Find the diagonal of the box.
| September 16, 2021 | education
We use the formula for the length of the diagonal of a rectangular parallelepiped.
The square of the length of the diagonal of a rectangular parallelepiped is equal to the sum of the squares of the lengths of its three dimensions.
A1C ^ 2 = AB ^ 2 + AB ^ 2 + AA1 ^ 2 = 64 + 100 + 32 = 196.
A1C = √196 = 14 cm.
Answer: The length of the diagonal of the parallelepiped is 14 cm.
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