#### Answer

$\left\{\begin{array}{l}
0\leq x\leq 2\\
0\leq y\leq 2\\
0\leq z\leq 2
\end{array}\right.$

#### Work Step by Step

Observe the points (x,y,z) in the cube.
The x-coordinates vary from 0 to 2, inclusive.
The y-coordinates vary from 0 to 2, inclusive.
The z-coordinates vary from 0 to 2, inclusive.
The conditions on the coordinates can be written as
$\left\{\begin{array}{l}
0\leq x\leq 2\\
0\leq y\leq 2\\
0\leq z\leq 2
\end{array}\right.$