Hello, koalamath!

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: .