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I'm currently having trouble trying to plot multiple planes into Mathematica. The planes that I'm supposed to plot are
x=0,
y=0,
x+y=1,
x+z=0 and
z=x^2+y^2.

I've noticed that I can't plot planes if the z-variable isn't there. I've tried using Plot3D, ContourPlot3D and ParametricPlot3D but I'm not having any success.

The second problem is trying to calculate the area that is enclosed by the planes themselves.

Any suggestions?

EDIT: I managed to plot the graphs. Is there an easy way to integrate between the surfaces or some other way to find the volume that is being surrounded by the planes. Props to Kuba and Dr. belisarius by the way :)!

EDIT2: Heres the code that i used to plot the equations.

ContourPlot3D[{x == 0, y == 0, x + y == 1, x + z == 0, z == x^2 + y^2}, {x, -5, 5}, 
  {y, -5, 5}, {z, -5, 5}]
Karsten7
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Tatu Okkonen
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    Works fine: ContourPlot3D[x == 0, {x, -2, 2}, {y, -2, 2}, {z, -2, 2}]. – Kuba Feb 24 '16 at 20:51
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    z=x^2+y^2. is an uncommon plane – Dr. belisarius Feb 24 '16 at 20:52
  • The problem is that I have to plot all of the planes on the same graph. – Tatu Okkonen Feb 24 '16 at 20:53
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    Take a look at: http://mathematica.stackexchange.com/questions/41183/plot3d-region-bounded-by-equations/41191#41191 – Kuba Feb 24 '16 at 20:54
  • Please add the code you used to plot the "planes" – Dr. belisarius Feb 24 '16 at 21:28
  • ContourPlot3D[{x == 0, y == 0, x + y == 1, x + z == 0, z == x^2 + y^2}, {x, -5, 5}, {y, -5, 5}, {z, -5, 5}] – Tatu Okkonen Feb 24 '16 at 21:35
  • The answer to your edit is in the linked topic. Keep in mind that it is not clear at all which part of space you want to measure. – Kuba Feb 24 '16 at 22:11
  • Yes I can see that. Im not sure either. I was just given a problem to plot the functions and then calculate the volume that is bounded by them. The topic that you linked didn't really help me with the integration part. I assumed there would be a way to just get the bounded piece with a code like RegionPlot3D and then get the volume of it. Im pretty confused at the moment. – Tatu Okkonen Feb 24 '16 at 22:20

0 Answers0