Question

Коробка имеет форму прямоугольного параллелепипеда (без крышки), ширина которого 3 см, а длина вдвое больше ширины. Сколько потребуется бумаги для оклейки коробки снаружи, если ее высота на 2 см меньше длины?

Answer 1

1). ширина - 3 см
2). 2*3=6 - длина
3). 6-2=4 см - высота
4). 3*4=12 см^2 - площадь первой стороны коробки
5). 12*2=24 см^2 - площадь двух одинаковых сторон
6). 4*6=24 см^2 -  площадь второй стороны коробки
7). 24*2=48 см^2 -    площадь двух других одинаковых сторон
8). 3*6=18 см^2 -  площадь дна коробки
9). 24+48+18=90 см^2 - необходимо бумаги для оклейки коробки без крышки.
Ответ: 90 см^2 

Answer 2

Calculation of Paper Required for Box Wrapping

To calculate the amount of paper required to wrap the box, we need to determine the surface area of the box.

Let's break down the given information: - The box has the shape of a rectangular parallelepiped (without a lid). - The width of the box is 3 cm. - The length of the box is twice the width. - The height of the box is 2 cm less than the length.

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

Calculation Steps:

1. Calculate the length of the box: - Given: width = 3 cm - The length is twice the width: length = 2 * width = 2 * 3 cm = 6 cm

2. Calculate the height of the box: - Given: height = length - 2 cm = 6 cm - 2 cm = 4 cm

3. Calculate the surface area of each face: - Top and bottom faces: length * width - Side faces: height * width

4. Calculate the total surface area of the box: - Sum up the surface areas of all faces.

5. Calculate the amount of paper required: - The amount of paper required is equal to the total surface area of the box.

Let's perform the calculations:

1. Calculate the length of the box: - Given: width = 3 cm - Length = 2 * width = 2 * 3 cm = 6 cm

2. Calculate the height of the box: - Given: height = length - 2 cm = 6 cm - 2 cm = 4 cm

3. Calculate the surface area of each face: - Top and bottom faces: length * width = 6 cm * 3 cm = 18 cm^2 - Side faces: height * width = 4 cm * 3 cm = 12 cm^2

4. Calculate the total surface area of the box: - Total surface area = 2 * (top and bottom faces) + 4 * (side faces) = 2 * 18 cm^2 + 4 * 12 cm^2 = 36 cm^2 + 48 cm^2 = 84 cm^2

5. Calculate the amount of paper required: - The amount of paper required is equal to the total surface area of the box. - Therefore, 84 cm^2 of paper will be required to wrap the box.

Please note that the calculations are based on the given dimensions and assumptions about the shape of the box.