Find the volume of the region bounded between the planes x + y + 2z = 4 and 2x + 2y + z = 2 in the first octant.

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Sahith Krishna 2021-12-24

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回答： Walter Roberson 2021-12-27

I DON'T KNOW WETHER MY LIMITS OF X AND Y ARE CORRECT OR NOT PLEASE ONCE GO THROGH IT AND HELP ME

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Walter Roberson 2021-12-24

On this site, questions are answered by volunteers. You can, of course try to issue commands to volunteers that they must do a certain calculation or write a certain program, but it is unlikely that anyone will bother to comply.

http://www.mathworks.com/matlabcentral/answers/6200-tutorial-how-to-ask-a-question-on-answers-and-get-a-fast-answer

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Answer 1

Matt J 2021-12-24

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编辑：Matt J 2021-12-24

在 MATLAB Online 中打开

One way would be to download these files,

https://www.mathworks.com/matlabcentral/fileexchange/30892-analyze-n-dimensional-convex-polyhedra

and use them to obtain the vertices of the region, whereupon convhulln can be used to compute the volume.

A=[-eye(3); 1 1 2; -[2 2 1]];
b=[0;0;0;4; -2];
vertices=lcon2vert(A,b)
vertices = 5×3
         0         0    2.0000
         0    1.0000         0
         0    4.0000         0
    1.0000         0         0
    4.0000         0         0
[~,volume]=convhulln(vertices)
volume = 5