Answer
$ a.\quad$ The slab between the planes $x=1$ and $x=0$.
$ b.\quad$ The upright square column passing through a unit square in the xy-plane, bordered by planes $x=0,x=1, y=0,y=1.$
$ c.\quad$ A cube with side length 1 in the 1st octant (all coordinates are nonnegative), with the origin as one of its vertices.
Work Step by Step
$a.$
$x=1$ and $x=0$ are parallel planes.
$x=0$ is the yz-plane.
This compound inequality describes the slab between the planes $x=1$ and $x=0$.
$b.$
The part of the slab in part (a) that lies between two parallel planes $y=0$ and $y=1.$
This is an upright square column passing through a unit square in the xy-plane, bordered by planes $x=0,x=1, y=0,y=1.$
$c.$
The part of the square column between the xy-plane $(z=0)$ and $z=1.$
This is a cube with side length 1 in the 1st octant (all coordinates are nonnegative), and one of its vertices is the origin.
$ a.\quad$ A slab between the planes $x=1$ and $x=0$
$ b.\quad$ An upright square column passing through a unit square in the xy-plane, bordered by planes $x=0,x=1, y=0,y=1.$
$ c.\quad$ A cube with side length 1 in the 1st octant (all coordinates are nonnegative), with the origin as one of its vertices.
