Question

Коробка без крышки имеет форму прямоугольного параллелепипеда. Её объём равен 5544 кубических см, ширина-14 см, а высота на 4 см больше ширины. Сколько квадратных см бумаги понадобится, чтобы оклеить эту коробку?

Answer 1

14+4=18 см высота
5544:(14*18)=22 см длина
площадь поверхности: 2ab + 2ac + bc
2*(14*18)+2*(22*18)+14*22=1604 см² бумаги понадобится

Answer 2

Calculation of Paper Needed to Cover the Box

To calculate the amount of paper needed to cover the box, we need to find the surface area of the box. The surface area of a rectangular prism (or a box) can be calculated by adding the areas of all its faces.

Given information: - Volume of the box: 5544 cubic centimeters - Width: 14 centimeters - Height: 4 centimeters more than the width

Let's calculate the height of the box first: - Width: 14 centimeters - Height: 4 centimeters more than the width - Height = 14 + 4 = 18 centimeters

Now, we can calculate the surface area of the box: - Front and back faces: width * height - Front and back faces area = 14 * 18 = 252 square centimeters - Top and bottom faces: width * length - Top and bottom faces area = 14 * 14 = 196 square centimeters - Left and right faces: height * length - Left and right faces area = 18 * 14 = 252 square centimeters

Total surface area of the box: - Total surface area = 2 * (front and back faces area + top and bottom faces area + left and right faces area) - Total surface area = 2 * (252 + 196 + 252) = 2 * 700 = 1400 square centimeters

Therefore, 1400 square centimeters of paper will be needed to cover the box.

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