Respuesta :

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

ACCESS MORE
EDU ACCESS
Universidad de Mexico