Question

В одном дюйме 25,4 мм.Длина стороны одной клетки тетрадного листа равна 0,5 см.Чему равна площадь твоего тетрадного листа в системе СИ и в квадратных дюймах?

Answer 1

Посчитаем длину листа в клетках - 40 клеток
посчитаем ширину листа в клетках - 34 клетки
длина L = 5 мм * 40 = 200 мм
ширина К = 5 мм * 34 = 170 мм
S = 200 / 25,4 * 170 / 25,4 ≈ 7,87 дюйма * 6,69 дюйма ≈ 52,7 кв. дюйма
S = 0,200 м * 0,170 м = 0,034 м²

Answer 2

Conversion between millimeters and inches

To convert between millimeters (mm) and inches (in), we can use the conversion factor that 1 inch is equal to 25.4 millimeters. Therefore, if we have a length in millimeters, we can divide it by 25.4 to get the equivalent length in inches, and vice versa.

Length of one cell of a notebook sheet

Given that 1 inch is equal to 25.4 millimeters, and the length of one cell of a notebook sheet is 0.5 centimeters, we can convert it to millimeters by multiplying it by 10. Thus, the length of one cell is 5 millimeters (0.5 cm * 10 mm/cm).

Area of the notebook sheet in the SI system

To calculate the area of the notebook sheet in the SI system (square meters), we need to know the dimensions of the sheet. If we assume that the sheet is a square with one cell on each side, then the area can be calculated by squaring the length of one cell.

The length of one cell is 5 millimeters, which is equal to 0.005 meters (5 mm * 0.001 m/mm). Therefore, the area of the notebook sheet is:

Area = (0.005 m) * (0.005 m) = 0.000025 square meters

Area of the notebook sheet in square inches

To calculate the area of the notebook sheet in square inches, we can convert the area from square meters to square inches using the conversion factor that 1 square inch is equal to 6.4516 square centimeters.

First, let's convert the area from square meters to square centimeters by multiplying it by 10,000 (since there are 10,000 square centimeters in a square meter):

Area in square centimeters = 0.000025 square meters * 10,000 = 0.25 square centimeters

Then, we can convert the area from square centimeters to square inches by dividing it by 6.4516:

Area in square inches = 0.25 square centimeters / 6.4516 = 0.0388 square inches

Therefore, the area of the notebook sheet is approximately 0.0388 square inches.

Summary:

- The length of one cell of a notebook sheet is 5 millimeters. - The area of the notebook sheet in the SI system is 0.000025 square meters. - The area of the notebook sheet in square inches is approximately 0.0388 square inches.

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