Question

Длинны ребер прямоугольного параллелепипеда равны 6см,8см,24см. Найти длинны его диагоналей.

Answer 1

Максим прав, поясню его ответ:
d²=a²+b²+c²
d²=6²+8²+24²
d²=676
d=26(см)
Ответ: 5)

Answer 2

Given Information

We are given the lengths of the edges of a rectangular parallelepiped: 6 cm, 8 cm, and 24 cm.

Finding the Length of the Diagonals

To find the length of the diagonals of the rectangular parallelepiped, we can use the formula:

D^2 = a^2 + b^2 + c^2

where D is the length of the diagonal, and a, b, and c are the lengths of the edges of the parallelepiped.

Using this formula, we can calculate the length of the diagonals:

D^2 = 6^2 + 8^2 + 24^2

D^2 = 36 + 64 + 576

D^2 = 676

Taking the square root of both sides, we find:

D = √676

D = 26 cm

Therefore, the length of the diagonals of the rectangular parallelepiped is 26 cm.

Conclusion

The length of the diagonals of the given rectangular parallelepiped, with edge lengths of 6 cm, 8 cm, and 24 cm, is 26 cm