Question

Длина прямоугольно го параллелепипеда равна 4см., ширина 3 см., высота 2см., Найти площадь каждой грани параллелепипеда. Сумму площадей всех граней ( площадь полной поверхности)

Answer 1

А.

1.4*3=12 кв см-площадь 1 грани

2.4*2=8 кв см-площадь 2 грани

3.3*2=6 кв см-площадь 3 грани

 Б.

1.2*(12+8+6)=52 кв см-площадь полной поверхности

Answer 2

Calculation of Surface Area of a Rectangular Prism

To find the surface area of a rectangular prism, we need to calculate the area of each face and then sum them up.

Given: - Length = 4 cm - Width = 3 cm - Height = 2 cm

Let's calculate the surface area of each face:

1. Front and Back Faces: - The front and back faces have the same dimensions, so we only need to calculate one of them. - The area of each face is equal to the product of the length and height: 4 cm * 2 cm = 8 cm².

2. Top and Bottom Faces: - The top and bottom faces also have the same dimensions, so we only need to calculate one of them. - The area of each face is equal to the product of the width and length: 3 cm * 4 cm = 12 cm².

3. Side Faces: - The side faces also have the same dimensions, so we only need to calculate one of them. - The area of each face is equal to the product of the width and height: 3 cm * 2 cm = 6 cm².

Now, let's calculate the total surface area by summing up the areas of all the faces:

- Total Surface Area = 2 * (Front Face + Back Face) + 2 * (Top Face + Bottom Face) + 2 * (Side Face) - Total Surface Area = 2 * (8 cm²) + 2 * (12 cm²) + 2 * (6 cm²) - Total Surface Area = 16 cm² + 24 cm² + 12 cm² - Total Surface Area = 52 cm²

Therefore, the total surface area of the rectangular prism is 52 cm².

Please let me know if there's anything else I can help you with!