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Convert 38.1 psi (lb/in²) to g/cm². Report your answer to the nearest whole number.

(1 pound = 453.6 grams, 1 inch = 2.54 cm)

Answer :

To convert 38.1 psi (pounds per square inch) to g/cm² (grams per square centimeter), follow these steps:

1. Understand the relationship and conversion factors:
- 1 psi is equivalent to 1 pound per square inch.
- 1 pound is equal to 453.6 grams.
- 1 inch is equal to 2.54 centimeters.

2. Convert pounds to grams:
- Since 1 pound is 453.6 grams, we multiply the pressure value in psi by this conversion factor to convert pounds to grams.

3. Square inches to square centimeters:
- We convert inches to centimeters by recognizing that each inch is 2.54 centimeters. Since we are dealing with square inches, we must square the conversion factor: (2.54 cm/inch)².

4. Perform the conversion:
- Multiply the psi value (38.1) by the conversion factor for pounds to grams (453.6), and then divide by the square of the conversion factor for inches to centimeters ((2.54)²).

5. Calculate and round the result:
- After performing the calculations, you obtain a result, which will then be rounded to the nearest whole number.

Following these steps, the conversion gives us approximately 2679 g/cm².

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