Answer
$a.\quad $slab between the planes $x=1$ and $x=0$
$b.\quad $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$cube with side length 1 in the 1st octant (all coordinates 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 nonnegative), and one of its vertices is the origin.
