I know that the volume of a pyramid is:

1/3 * (area of base) * height

And I've found the area of a tetrahedron before,

But I have no idea how to find the area of a solid figure given five planes in the 3-D coordinate system.

The planes given are:

x + 2y - 2z = 2

2x + y + 2z = 4

x = 2

x = 0

z = 2

Any help or push in the right direction would be greatly appreciated