Calculus: Early Transcendentals
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ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Transcribed Image Text:**Problem 8**
The length, width, and height of a rectangular box are measured as 80 cm, 50 cm, and 60 cm, respectively. Each measurement has an error of at most 0.5 cm. Use differentials to estimate the maximum error when calculating the volume of the box.
**Diagram Explanation**
The diagram shows a rectangular box with the following dimensions labeled:
- Length: 80 cm
- Width: 50 cm
- Height: 60 cm
**Answer Choices**
Select one:
- a. 600 cm³
- b. 1700 cm³
- c. 4500 cm³
- d. 5900 cm³
- e. 3200 cm³
To solve this problem, consider using the formula for the volume of a rectangular box and differentials to estimate the potential maximum error.
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