A rectangular box without a lid is to be made from 27𝑚2 of cardboard. Find the maximum volume of such a box

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Rohan P 2021-7-1

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https://ww2.mathworks.cn/matlabcentral/answers/869678-a-rectangular-box-without-a-lid-is-to-be-made-from-27-2-of-cardboard-find-the-maximum-volume-of-su

关闭： John D'Errico 2021-7-1

plz tell the answer if u know

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Rohan P 2021-7-1

tq for the reply bro i know the solution ibut i dont know the matlab code and the due is today

DGM 2021-7-1

This is a typical calculus 1 problem. You can do this as your course intends or approach it graphically to build your expectations/intuition. There are plenty of examples of solving this the intended way. The obvious thing to recognize is that for volume to be maximized for a fixed surface area, the bottom of the box must be square. This reduces the problem to a simple 1D maximization task. Express the volume as a function of area and width (or area and height). Treat the chosen dimension as the independent variable, and find the width (or height) at which the slope of V = 0. Back calculate to find the volume and remaining dimensions.

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