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

I uploaded viewSolid and viewSolidone before running the program. I do not understand why an error is showing, the program works for other equations but not for this one.

[Sam Fernando]

You might not have added the m files required to use these commands

[A SAI CHARAN]

Just Remove Real and try

Answer 1

[Hridyesh Bhatnagar]

clear
clc
syms x y z
xa=0;
xb=2;
ya=0+0*x;
yb=2-x;
za=(2-x-y)/2;
zb=4-(2*x)-(2*y);
I=int(int(int(1+0*z,z,za,zb),y,ya,yb),x,xa,xb)
viewSolidone(z,za,zb,y,ya,yb,x,xa,xb)

%Try this code, it will work.

[Rewa Joshi]

It worked, thanks!

[SHREYAS KARTHIKEYA]

can anyone explain me how to get the values of xa,xb ya,yb

[Gandla sasank]

I am not getting output

[Sam Fernando]

actually xa values is lower limit of x and xb is highr limit for x similar case for z and y , to find these u gotta put z=0 and get y limits and then put x as 0 to get x limits

Answer 2

[Matt J]

Using this FEX download,

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

[A,b]=addBounds([1,1,2;2,2,1]  , [2;4],[],[],[0;0;0]);

[~, volume]=convhulln(lcon2vert(A,b))

volume =

0.6667