Question

РЕШИТЕ ЗАДАНИЕ Найдите объём прямоугольного параллелепипеда, если его длина равна 2, ширина 1, а диагональ 3.Срочно ​

Answer 1

Формула объема: V = abc

Kвадрат диагонали = сумме квадратов все трех измерений.

11² = 6² + 7² + c²

121 - 36 - 49 = c²

c = 6

V = 6*7*6 = 4.

Answer 2

Calculating the Volume of a Rectangular Parallelepiped

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

Volume = length × width × height

Given: - Length = 2 - Width = 1 - Diagonal = 3

We can use the Pythagorean theorem to find the height of the parallelepiped using the given length, width, and diagonal.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Using the Pythagorean theorem, we can calculate the height as follows:

Height = √(diagonal^2 - width^2 - length^2)

Height = √(3^2 - 1^2 - 2^2) Height = √(9 - 1 - 4) Height = √4 Height = 2

Now that we have the height, we can calculate the volume using the formula:

Volume = length × width × height Volume = 2 × 1 × 2 Volume = 4

So, the volume of the rectangular parallelepiped is 4 cubic units.