A sheet of paper has a thickness of 0.0760 mm. How many sheets of papers to lay on top of each other to make a column 2.23 km high?

To solve this problem, we need to determine how many sheets of paper, each with a thickness of 0.0760 mm, are needed to reach a height of 2.23 km. 

### Step-by-Step Solution:

1. **Convert units to the same scale:**
   - The thickness of one sheet of paper is given in millimeters (mm).
   - The height of the column is given in kilometers (km).
   
   We should convert the height of the column from kilometers to millimeters:

   \[
   1 \, \text{km} = 1,000,000 \, \text{mm}
   \]

   Therefore,

   \[
   2.23 \, \text{km} = 2.23 \times 1,000,000 \, \text{mm} = 2,230,000 \, \text{mm}
   \]

2. **Calculate the number of sheets required:**
   - Each sheet is 0.0760 mm thick. Let \( n \) be the number of sheets required to reach 2,230,000 mm.
   
   The total thickness of \( n \) sheets is:

   \[
   n \times 0.0760 \, \text{mm}
   \]

   Set this equal to the total height of the column:

   \[
   n \times 0.0760 = 2,230,000
   \]

   Solving for \( n \):

   \[
   n = \frac{2,230,000}{0.0760}
   \]

3. **Compute the value of \( n \):**

   \[
   n = \frac{2,230,000}{0.0760} \approx 29,342,105
   \]

### Conclusion:

Approximately **29,342,105 sheets of paper** are needed to make a column 2.23 km high.

Would you like further details or have any questions?

### Related Questions:

1. What would be the height in kilometers if 10 million sheets of paper are stacked?
2. How many sheets of paper are needed for a height of 5 km?
3. If each sheet's thickness changes to 0.1 mm, how does the number of sheets change for the same height?
4. What is the thickness of a stack of 50,000 sheets of paper?
5. If the sheets are stacked with a 1% gap between each, how many sheets are required for the same height?

### Tip:

When working with unit conversions, it's important to convert all quantities to the same unit to avoid calculation errors.

A sheet of paper has a thickness of 0.0760 mm. How many sheets of paper are needed to make a column 2.23 km high?

Find out how many sheets of paper, each 0.0760 mm thick, are required to create a column 2.23 km high. This problem involves key mathematical concepts like unit conversion and division. Suitable for middle school students in Grades 6-8.

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