Answer :
Sure, let's work through the problem step by step.
1. Understanding the Problem:
- You have a single piece of paper which is 8.1 millimeters thick.
- You want to know how many such pieces of paper are needed to make a stack that is 2 meters tall.
2. Conversion:
- First, convert the thickness of the paper from millimeters to meters since the stack height is given in meters.
- 1 millimeter is equal to 0.001 meters, so:
[tex]\[
8.1 \, \text{mm} = 8.1 \times 0.001 \, \text{m} = 0.0081 \, \text{m}
\][/tex]
3. Calculation:
- To find out how many pieces of paper are required, you divide the total desired stack height by the thickness of one piece of paper:
[tex]\[
\text{Number of pieces} = \frac{\text{Stack Height}}{\text{Thickness of one piece}}
\][/tex]
- Plug the values into the formula:
[tex]\[
\text{Number of pieces} = \frac{2.0 \, \text{m}}{0.0081 \, \text{m}}
\][/tex]
4. Result:
- Performing the division gives approximately:
[tex]\[
\approx 246.91
\][/tex]
Therefore, you would need approximately 247 pieces of paper to make a stack two meters high. Remember to round up since you can't use a fraction of a paper in a physical stack!
1. Understanding the Problem:
- You have a single piece of paper which is 8.1 millimeters thick.
- You want to know how many such pieces of paper are needed to make a stack that is 2 meters tall.
2. Conversion:
- First, convert the thickness of the paper from millimeters to meters since the stack height is given in meters.
- 1 millimeter is equal to 0.001 meters, so:
[tex]\[
8.1 \, \text{mm} = 8.1 \times 0.001 \, \text{m} = 0.0081 \, \text{m}
\][/tex]
3. Calculation:
- To find out how many pieces of paper are required, you divide the total desired stack height by the thickness of one piece of paper:
[tex]\[
\text{Number of pieces} = \frac{\text{Stack Height}}{\text{Thickness of one piece}}
\][/tex]
- Plug the values into the formula:
[tex]\[
\text{Number of pieces} = \frac{2.0 \, \text{m}}{0.0081 \, \text{m}}
\][/tex]
4. Result:
- Performing the division gives approximately:
[tex]\[
\approx 246.91
\][/tex]
Therefore, you would need approximately 247 pieces of paper to make a stack two meters high. Remember to round up since you can't use a fraction of a paper in a physical stack!
