A pile of 200 sheets of paper is 4.8 cm thick. In mm, the thickness of each sheet is
Understand the Problem
The question asks to determine the thickness of each sheet of paper when a pile of 200 sheets measures 4.8 cm thick. We will convert the measurements to mm and calculate the thickness per sheet by dividing the total thickness by the number of sheets.
Answer
The thickness of each sheet is $0.24 \, \text{mm}$.
Answer for screen readers
The thickness of each sheet is $0.24 , \text{mm}$.
Steps to Solve
- Convert the total thickness to mm
Since the thickness is given in centimeters, we first convert it to millimeters. We know that 1 cm equals 10 mm.
The total thickness in mm is:
$$ 4.8 , \text{cm} = 4.8 \times 10 , \text{mm} = 48 , \text{mm} $$
- Calculate the thickness of each sheet
Now that we have the total thickness in millimeters, we can find the thickness per sheet by dividing the total thickness by the number of sheets.
The formula is:
$$ \text{thickness per sheet} = \frac{\text{total thickness}}{\text{number of sheets}} = \frac{48 , \text{mm}}{200} $$
- Perform the division
Now, we compute the division to find the thickness of each sheet:
$$ \text{thickness per sheet} = \frac{48}{200} = 0.24 , \text{mm} $$
The thickness of each sheet is $0.24 , \text{mm}$.
More Information
Each sheet being 0.24 mm thick is typical for standard copy paper, which usually ranges between 0.05 mm and 0.1 mm per sheet. The result emphasizes how even a small number of sheets can add up to a noticeable height.
Tips
- Confusing cm and mm: Always remember to convert the measurements correctly. A common mistake is forgetting the conversion factor of 10.
- Incorrect division: Ensure that the total thickness is divided by the correct number of sheets.
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