The figure above represents a square sheet of cardboard with side length 20 inches. The sheet is cut and pieces are discarded. When the cardboard is folded, it becomes a rectangular box with a lid. The pattern for the rectangular box with a lid is shaded in the figure. Four squares with side length x and two rectangul

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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The figure above represents a square sheet of cardboard with side length 20 inches. The sheet is cut and pieces are discarded. When the cardboard is folded, it becomes a rectangular box with a lid. The pattern for the rectangular box with a lid is shaded in the figure. Four squares with side length x and two rectangular regions are discarded from the cardboard. Which of the following statements is true? (The volume V of a rectangular box is given by V=lwh). 

A
When a = 10 inches, the box has a minimum possible volume.
B) When a = 10 inches, the box has a maximum possible volume.
When a = 0 inches, the box has a minimum possible volume.
When a =
inches, the box has a maximum possible volume.
D
Transcribed Image Text:A When a = 10 inches, the box has a minimum possible volume. B) When a = 10 inches, the box has a maximum possible volume. When a = 0 inches, the box has a minimum possible volume. When a = inches, the box has a maximum possible volume. D
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