Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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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.
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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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