Question

Измерения прямоугольного параллелепипеда равны 40 см и 26 см и 52 см Найдите 1 сумму длин всех его ребер и площадь поверхности параллелепипедапомогите ребят пожалуйста❤

Answer 1

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 2

Dimensions of the Rectangular Parallelepiped

The dimensions of the rectangular parallelepiped are given as 40 cm, 26 cm, and 52 cm.

Sum of the Lengths of All Edges

To find the sum of the lengths of all the edges of the rectangular parallelepiped, we need to calculate the perimeter of each face and then add them together.

The rectangular parallelepiped has 12 edges. Each edge is shared by two faces. Therefore, we can calculate the sum of the lengths of all the edges by adding the perimeter of each face twice.

The perimeter of a rectangle is given by the formula: 2 * (length + width).

Let's calculate the sum of the lengths of all the edges: - The sum of the lengths of the edges parallel to the length is: 2 * (40 + 26) = 132 cm. - The sum of the lengths of the edges parallel to the width is: 2 * (26 + 52) = 156 cm. - The sum of the lengths of the edges parallel to the height is: 2 * (40 + 52) = 184 cm.

Now, let's add these three values together to find the sum of the lengths of all the edges: 132 cm + 156 cm + 184 cm = 472 cm.

Therefore, the sum of the lengths of all the edges of the rectangular parallelepiped is 472 cm.

Surface Area of the Parallelepiped

To find the surface area of the parallelepiped, we need to calculate the area of each face and then add them together.

The surface area of a rectangular face is given by the formula: length * width.

Let's calculate the surface area of each face: - The surface area of the face parallel to the length is: 40 cm * 26 cm = 1040 cm². - The surface area of the face parallel to the width is: 26 cm * 52 cm = 1352 cm². - The surface area of the face parallel to the height is: 40 cm * 52 cm = 2080 cm².

Now, let's add these three values together to find the surface area of the parallelepiped: 1040 cm² + 1352 cm² + 2080 cm² = 4472 cm².

Therefore, the surface area of the parallelepiped is 4472 cm².

I hope this helps! Let me know if you have any further questions.