Question

основание прямого параллелепипеда ромб диагонали которого относятся как 5:9.Диагонали параллелепипеда равны 26 и 30 см.Найдите его объем.

Answer 1

Given Information:

We are given that the diagonals of a parallelepiped are in the ratio of 5:9. The lengths of the diagonals are 26 cm and 30 cm. We need to find the volume of the parallelepiped.

Solution:

To find the volume of the parallelepiped, we can use the formula:

Volume = (1/6) * (diagonal 1) * (diagonal 2) * (diagonal 3)

Let's calculate the volume using the given information.

1. We are given that the diagonals of the parallelepiped are in the ratio of 5:9. Let's assume the lengths of the diagonals are 5x and 9x, where x is a constant.

2. We are also given that the lengths of the diagonals are 26 cm and 30 cm. Using this information, we can set up the following equation:

5x = 26 (Equation 1) 9x = 30 (Equation 2)

Solving these equations, we find: x = 26/5 = 5.2 x = 30/9 = 3.33

Since x cannot have two different values, there seems to be an error in the given information.

Please provide the correct information so that we can proceed with the calculation.