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An open rectangular box is to be made by cutting four equal squares from each corner of a 12 cm by 12 cm piece of netal and then folding up the sides (sample diagram shown below). The finished box must be at least 1.5 cm deep, but not deeper than 3 cm. What are the dimensions of the finished box if the volume is to be maximized? T 12 cm

An open rectangular box is to be made by cutting four equal squares from each corner of a 12 cm by 12 cm piece of netal and then folding up the sides (sample diagram shown below). The finished box must be at least 1.5 cm deep, but not deeper than 3 cm. What are the dimensions of the finished box if the volume is to be maximized? T 12 cm

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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13.3 (Optimization)

An open rectangular box is to be made by cutting four equal squares from each corner of a 12 cm by 12 cm piece of metal and then folding up the sides (sample diagram shown below). The finished box must be at least 1.5 cm deep, but not deeper than 3 cm. What are the dimensions of the finished box if the volume is to be maximized? 12 cm
Transcribed Image Text:An open rectangular box is to be made by cutting four equal squares from each corner of a 12 cm by 12 cm piece of metal and then folding up the sides (sample diagram shown below). The finished box must be at least 1.5 cm deep, but not deeper than 3 cm. What are the dimensions of the finished box if the volume is to be maximized? 12 cm
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