Question

Стороны основания прямоугольного параллелепипеда равны 3 см и 4 см . Диагональ параллелепипеда образует с площадью основания угол 45°. Найти объем параллелепипеда?

Answer 1

Ответ:

12%--%* *%* * * *%**%**%*%*%*%

Answer 2

Given Information:

We are given that the sides of a rectangular parallelepiped are 3 cm and 4 cm, and the diagonal of the parallelepiped forms a 45° angle with the base area.

Solution:

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

Volume = Length × Width × Height

Since the given sides are the length and width, we need to find the height of the parallelepiped.

Finding the Height:

Let's assume the height of the parallelepiped is h.

Using the Pythagorean theorem, we can find the height:

h^2 = (3 cm)^2 + (4 cm)^2

Simplifying the equation:

**h^2 = 9 cm^2 + 16 cm^2