Answer
$2\frac{10}{27}$ cubic inches
Work Step by Step
The formula for the volume of a cube is $l^{3}$ where $l$ is the length of one side of the cube. Since the length of one side of the cube is $1\frac{1}{3}$ inches,
Volume of cube$=l^{3}$
Volume of cube$=(\frac{4}{3})^{3}$
Volume of cube$=\frac{4^{3}}{3^{3}}$
Volume of cube$=\frac{64}{27}=2\frac{10}{27}$ cubic inches