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Optimization - Open Box With Max Volume | JK Math
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In this video we look at how to solve a specific calculus optimization problem dealing with the maximum volume of an open-top box. Specifically, we look at the following problem: An open-top box is to be constructed from a 14 by 30 cm piece of cardboard. To do this, squares of equal size must be cut from the four corners, so the sides can be bent upwards. What should the dimensions of the squares be to create a box with the largest possible volume?
Video Chapters:
0:00 Problem Reading
0:39 Labeling The Diagrams
3:22 Finding & Simplifying the Volume Equation
5:17 Determining The Domain
7:12 Taking the Derivative & Solving for x
11:19 Outro
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