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A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 5 inches by 8 inches. Six squares will be cut from the cardboard: one square will be cut from each of the corners, and one square will be cut from the middle of each of the 8-inch sides. (See Figure 1.) The remaining cardboard will be folded to form the box and its lid. (See Figure 2.) Letting x represent the side-lengths (in inches) of the squares, use the ALEKS graphing calculator to find the value of x that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two decimal places. 5 Figure 1 8 X x X x x x x X x Value of x that maximizes volume: Maximum volume: x x in in 3 Figure 2 ☑ G

A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 5 inches by 8 inches. Six squares will be cut from the cardboard: one square will be cut from each of the corners, and one square will be cut from the middle of each of the 8-inch sides. (See Figure 1.) The remaining cardboard will be folded to form the box and its lid. (See Figure 2.) Letting x represent the side-lengths (in inches) of the squares, use the ALEKS graphing calculator to find the value of x that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two decimal places. 5 Figure 1 8 X x X x x x x X x Value of x that maximizes volume: Maximum volume: x x in in 3 Figure 2 ☑ G

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter3: Multi-step Equations And Inequalities
Section: Chapter Questions
Problem 14PTTS
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A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 5 inches by 8 inches. Six squares will be cut from the cardboard: one square will be cut from each of the corners, and one square will be cut from the middle of each of the 8-inch sides. (See Figure 1.) The remaining cardboard will be folded to form the box and its lid. (See Figure 2.) Letting x represent the side-lengths (in inches) of the squares, use the ALEKS graphing calculator to find the value of x that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two decimal places. 5 Figure 1 8 X x X x x x x X x Value of x that maximizes volume: Maximum volume: x x in in 3 Figure 2 ☑ G
Transcribed Image Text:A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 5 inches by 8 inches. Six squares will be cut from the cardboard: one square will be cut from each of the corners, and one square will be cut from the middle of each of the 8-inch sides. (See Figure 1.) The remaining cardboard will be folded to form the box and its lid. (See Figure 2.) Letting x represent the side-lengths (in inches) of the squares, use the ALEKS graphing calculator to find the value of x that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two decimal places. 5 Figure 1 8 X x X x x x x X x Value of x that maximizes volume: Maximum volume: x x in in 3 Figure 2 ☑ G
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