High School

Which of these is within the tolerance?

1. [tex]38.1 \times 177.5 \, \text{mm}[/tex]
2. [tex]134.4 \times 183.2 \, \text{mm}[/tex]
3. [tex]133.9 \times 181.8 \, \text{mm}[/tex]
4. [tex]130.0 \times 176.7 \, \text{mm}[/tex]

Answer :

To solve this problem, we need to determine which set of dimensions is within a specified tolerance. We have four sets of dimensions, and we must check if each one fits within a certain range for both width and height.

Here are the steps to solve the problem:

1. Identify the Tolerance Range:
- Width should be between 133.5 mm and 134.5 mm.
- Height should be between 181.0 mm and 182.0 mm.

2. Check Each Set of Dimensions:
- First set: 138.1 mm (width) and 177.5 mm (height)
- 138.1 is not within the width tolerance of 133.5 to 134.5.
- This set is not in tolerance.

- Second set: 134.4 mm (width) and 183.2 mm (height)
- 134.4 is within the width tolerance range.
- 183.2 is not within the height tolerance of 181.0 to 182.0.
- This set is not in tolerance.

- Third set: 133.9 mm (width) and 181.8 mm (height)
- 133.9 is within the width tolerance range.
- 181.8 is within the height tolerance range.
- This set is within tolerance.

- Fourth set: 130.0 mm (width) and 176.7 mm (height)
- 130.0 is not within the width tolerance of 133.5 to 134.5.
- This set is not in tolerance.

3. Conclusion:
- Out of the four sets, the third set, 133.9 mm by 181.8 mm, is the only one that falls within the specified tolerance range for both width and height.

Therefore, the dimensions (133.9 x 181.8) mm are the ones that are within the tolerance.

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