From the given figure
The prism has 3 dimensions
Length = 2 sides of the cube
Width = 5 sides of the cube
Height = 4 sides of the cube
The side of the cube = 1/3 inch
[tex]\begin{gathered} \text{Length }=2\times\frac{1}{3}=\frac{2}{3} \\ \text{Width = 5}\times\frac{1}{3}=\frac{5}{3} \\ \text{Height }=4\times\frac{1}{3}=\frac{4}{3} \end{gathered}[/tex]Since the rule of the volume of the prism is
[tex]V=length\times width\times height[/tex]Then
[tex]\begin{gathered} V=\frac{2}{3}\times\frac{5}{3}\times\frac{4}{3}=\frac{2\times5\times4}{3\times3\times3} \\ V=\frac{40}{27} \end{gathered}[/tex]The volume of the prism is 40/27 cubic inches
The answer is D