I need help setting the bounds of this equation

Find the volume of the solid bounded by the planes x=0 y=0 z=0 and x+y+z=6

thank you

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- Nov 19th 2008, 07:06 AMkoalamathintegration
I need help setting the bounds of this equation

Find the volume of the solid bounded by the planes x=0 y=0 z=0 and x+y+z=6

thank you - Nov 19th 2008, 07:33 AMSoroban
Hello, koalamath!

Quote:

Find the volume of the solid bounded by the planes: .

The solid is in the first octant, bounded by the plane

. . which has intercepts: (6,0,0), (0,6,0), (0,0,6).

We have: . . . . where is the region in the plane.

That region looks like this:Code:`|`

6 *

|:*

|:::*

|:::::*

|:::::::*

|:::::::::*

- + - - - - - * - - -

| 6

We see that goes from to

And goes from to

Therefore: .

- Nov 19th 2008, 10:35 AMkoalamath
Thank you so much

- Nov 19th 2008, 10:44 AMkoalamath
Wait i get 6 as the answer and that's wrong

- Nov 19th 2008, 12:36 PMKrizalid
Your integration skills or arithmetic are wrong 'cause the answer is 36.