A shipping company will ship a box only if the sum of its length and girth (distance around) does not exceed 126 inches. Find the dimensions of the box with a maximum volume when its width is twice its height. must show all steps The image depicts a rectangular prism, representing a 3-dimensional box, with labeled dimensions: Length, Width, and Height. - **Length**: This is the horizontal dimension of the box depicted by a red dashed line along the base of the prism.- **Width**: Shown as the horizontal dimension perpendicular to the Length, denoted by a black dashed line.- **Height**: The vertical dimension, marked by a black dashed line.- **Girth**: Represented by a vertical red line that extends from the base along the Height.The diagram shows how to measure the Girth of a box, which is the total distance around the box’s Width and Height (perimeter of the cross-section perpendicular to the Length). The Girth is a crucial measurement in shipping and packaging industries.

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Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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A shipping company will ship a box only if the sum of its length and girth (distance around) does not exceed 126 inches. Find the dimensions of the box with a maximum volume when its width is twice its height. must show all steps

The image depicts a rectangular prism, representing a 3-dimensional box, with labeled dimensions: Length, Width, and Height.

- **Length**: This is the horizontal dimension of the box depicted by a red dashed line along the base of the prism.
- **Width**: Shown as the horizontal dimension perpendicular to the Length, denoted by a black dashed line.
- **Height**: The vertical dimension, marked by a black dashed line.
- **Girth**: Represented by a vertical red line that extends from the base along the Height.

The diagram shows how to measure the Girth of a box, which is the total distance around the box’s Width and Height (perimeter of the cross-section perpendicular to the Length). The Girth is a crucial measurement in shipping and packaging industries.

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