## anonymous 5 years ago Find the volume of the solid bounded by the planes x = 0, y = 0, z = 0, and x + y + z = 2.

1. anonymous

$\int\limits_{x=0}^{2}\int\limits_{y=0}^{2-x}\int\limits_{z=0}^{2-x-y}dx dy dz=\int\limits_{x=0}^{2}\int\limits_{y=0}^{2-x}(2-x-y)dxdy$=$\int\limits_{x=0}^{2}((2-x)(2-x)-(2-x)^{2}/2)dx=\int\limits_{x=0}^{2}(2-x)^{2}dx/2$=4/3

2. amistre64

i knew itd be multi integraled lol

3. amistre64

i knew itd be multi integraled lol

4. amistre64

good job :)