To determine the number of envelopes that can be made out of a given sheet of paper, we need to follow these steps:
1. Determine the Dimensions:
- The sheet of paper has dimensions 422 cm by 165 cm.
- Each envelope requires a strip of paper of length 18 cm.
2. Calculate Full Strips:
- Each strip of paper will be cut along the length of the 422 cm side to form envelopes.
- Therefore, we need to determine how many full 18 cm strips can be cut from the 422 cm length.
- To find the number of full strips, we perform a division:
[tex]\[
\text{Number of Full Strips} = \frac{422 \text{ cm}}{18 \text{ cm/strip}} = \frac{422}{18}
\][/tex]
3. Perform the Division:
- Dividing 422 by 18 gives us approximately:
[tex]\[
\frac{422}{18} \approx 23.444
\][/tex]
- Since we're dealing with full strips, we can only count complete strips, which means counting the integer part of the division. So, we take the floor value of 23.444, which is 23.
[tex]\[
\text{Number of Full Strips} = 23
\][/tex]
Thus, we can make 23 envelopes from the sheet of paper using a strip length of 18 cm each. No matter how wide each strip is, the number of strips cut along one dimension, which is the relevant calculation here, remains 23.
[tex]\[
\boxed{23}
\][/tex]
