Question

Тюбик мастерит для посылки коробку с крышкой.длина коробки 4 дм5 см, ширина 2 дм высота-3дм.найдите обьем коробки.сколько квадратных дм фанеры пошло на ее изготовление?

Answer 1

4,5*2*3=27дм^3
На изготовление ушло:
4*(4,5*2)=36
2*(3*2)=12
12+36=48дм^2

Answer 2

Calculation of the Box Volume

To find the volume of the box, we need to multiply its length, width, and height.

Given: - Length of the box = 4 dm 5 cm - Width of the box = 2 dm - Height of the box = 3 dm

First, let's convert the measurements to a consistent unit. Since the height, width, and length are all in decimeters (dm), we can proceed with the calculation.

Converting the length from centimeters to decimeters: - 5 cm = 0.5 dm

Now, we can calculate the volume of the box using the formula:

Volume = Length x Width x Height

Substituting the given values: - Length = 4 dm + 0.5 dm = 4.5 dm - Width = 2 dm - Height = 3 dm

Calculating the volume: - Volume = 4.5 dm x 2 dm x 3 dm = 27 dm³

Therefore, the volume of the box is 27 cubic decimeters (dm³).

Calculation of Plywood Area

To calculate the area of plywood required to make the box, we need to find the surface area of the box. The surface area consists of the area of each face of the box.

The box has six faces: top, bottom, front, back, left side, and right side. The top and bottom faces have the same dimensions, as do the front and back faces, and the left and right faces.

Calculating the area of each face:

1. Top and Bottom Faces: - Length = 4.5 dm - Width = 2 dm - Area = Length x Width

2. Front and Back Faces: - Length = 4.5 dm - Height = 3 dm - Area = Length x Height

3. Left and Right Faces: - Width = 2 dm - Height = 3 dm - Area = Width x Height

Now, let's calculate the area of each face:

1. Top and Bottom Faces: - Area = 4.5 dm x 2 dm = 9 dm²

2. Front and Back Faces: - Area = 4.5 dm x 3 dm = 13.5 dm²

3. Left and Right Faces: - Area = 2 dm x 3 dm = 6 dm²

To find the total area of plywood required, we sum up the areas of all six faces:

Total Area = 2(Top and Bottom Area) + 2(Front and Back Area) + 2(Left and Right Area)

Substituting the calculated values: - Total Area = 2(9 dm²) + 2(13.5 dm²) + 2(6 dm²) = 18 dm² + 27 dm² + 12 dm² = 57 dm²

Therefore, 57 square decimeters (dm²) of plywood are required to make the box.

Please note that the calculations assume the box has no thickness, and the plywood used to make the box has no wastage or overlapping.