The area of the rectangular piece of cardboard shown below is 198 square inches. The cardboard is used to make an open box by cutting a 2-inch square from each corner and turning up the sides. If the box is to have a volume of 196 cubic inches, find the length and width of the cardboard that must be used. W L The length of the cardboard is inches and the width is inches. C...
The area of the rectangular piece of cardboard shown below is 198 square inches. The cardboard is used to make an open box by cutting a 2-inch square from each corner and turning up the sides. If the box is to have a volume of 196 cubic inches, find the length and width of the cardboard that must be used. W L The length of the cardboard is inches and the width is inches. C...
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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![### Problem Description
The area of the rectangular piece of cardboard shown below is 198 square inches. The cardboard is used to make an open box by cutting a 2-inch square from each corner and turning up the sides. If the box is to have a volume of 196 cubic inches, find the length and width of the cardboard that must be used.
### Diagram Description
1. **Initial Cardboard Layout**:
- A rectangle is labeled with dimensions L (length) and W (width).
2. **Transformation to Box Form**:
- The second diagram shows the process of cutting a 2-inch square from each corner.
- Dashed lines indicate folding to create the sides of the box.
3. **Final Box Form**:
- The third diagram displays the resulting open box after the sides have been folded upwards.
### Solution Frame
The length of the cardboard is [ ] inches and the width is [ ] inches.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc29afaca-2bcc-449e-b541-aa3eef827b4a%2Fbf90bc35-26ae-4239-bbee-49a2f2e78fef%2F11dltpq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Description
The area of the rectangular piece of cardboard shown below is 198 square inches. The cardboard is used to make an open box by cutting a 2-inch square from each corner and turning up the sides. If the box is to have a volume of 196 cubic inches, find the length and width of the cardboard that must be used.
### Diagram Description
1. **Initial Cardboard Layout**:
- A rectangle is labeled with dimensions L (length) and W (width).
2. **Transformation to Box Form**:
- The second diagram shows the process of cutting a 2-inch square from each corner.
- Dashed lines indicate folding to create the sides of the box.
3. **Final Box Form**:
- The third diagram displays the resulting open box after the sides have been folded upwards.
### Solution Frame
The length of the cardboard is [ ] inches and the width is [ ] inches.
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