Answer
$V=\frac{64}{27} \text{in.}^3$
Work Step by Step
The volume $V$ of a cube is given by the formula $V=s^3$ where $s$=length of each edge.
Thus, the volume of the given cube is:
$V=(1\frac{1}{3}\text{ in.})^3
\\V=(\frac{4}{3}\text{ in.})^3
\\V=\frac{64}{27} \text{in.}^3$