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

Размер тетрадного листа: 32×40 клеток.
32*40=1280 клеток в тетрадном листе
В 1 см² 4 клетки ⇒ 1280/4=320 см² - площадь тетрадного листа
В 1 дюйме - 25,4 мм и или 2,54 см ⇒ в 1 дюйм² (квадратном дюйме) 2,54*2,54=6,4516 см²
Площадь тетрадного листа: 320/6,4516≈49,6 дюйм²

Answer 2

Conversion of Units

To find the area of your notebook sheet in the SI system and in square inches, we need to convert the given measurements to the desired units.

Given: - 1 inch = 25.4 mm - Length of one cell of the notebook sheet = 0.5 cm

Conversion to SI System

First, let's convert the length of one cell from centimeters to meters, as the SI system uses meters for length measurements.

1 cm = 0.01 m

Therefore, the length of one cell in the SI system is: 0.5 cm * 0.01 m/cm = 0.005 m

Next, we can calculate the area of the notebook sheet in the SI system by multiplying the length of one cell by itself, as the notebook sheet is assumed to be a square.

Area = (Length of one cell)^2 = (0.005 m)^2 = 0.000025 m^2

Therefore, the area of your notebook sheet in the SI system is 0.000025 square meters.

Conversion to Square Inches

To convert the area from square meters to square inches, we need to use the conversion factor between square inches and square meters.

1 square inch = (25.4 mm)^2

Let's calculate the area of the notebook sheet in square inches:

Area = (0.000025 m^2) * (1 square inch / (25.4 mm)^2) = 0.00003887 square inches

Therefore, the area of your notebook sheet in square inches is approximately 0.00003887 square inches.

Please note that the above calculations are based on the given conversion factors and assumptions about the shape of the notebook sheet.