Limits of integration: region bounded by the planes z=x, x+z=8, z=y, y=8, and z=0

Ritwik

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Hi. I have a math homework problem which I am unable to solve. Would be glad if you people out there could provide me with its solution.
So, I am supposed to find the volume of the region bounded by the planes z=x, x+z=8, z=y, y=8, and z=0, using triple integration.
I am unable to find the limits of integration.
 
Hi. I have a math homework problem which I am unable to solve. Would be glad if you people out there could provide me with its solution.
So, I am supposed to find the volume of the region bounded by the planes z=x, x+z=8, z=y, y=8, and z=0, using triple integration.
I am unable to find the limits of integration.
The first thing I would do is to approximately sketch the situation.

z=x will be a plane that will contain the y-axis and the line z=x on x-z plane. Similarly,

z+x = 8 will be a plane that will be parallel to the y-axis and the line z+x = 8 on x-z plane. These two planes intersect along a line parallel to y-axis and a point (x=4, z=4), Continue.....
 
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