Given:
A prism is completely filled with 72 cubes that have edge lengths of 1/2 in.
Required:
To find the volume of the prism.
Explanation:
The volume of the each cube is
[tex]\begin{gathered} =(\frac{1}{2})^3 \\ \\ =\frac{1}{8}in^3 \end{gathered}[/tex]So the volume of the complete prism is
[tex]\begin{gathered} =72\times\frac{1}{8} \\ \\ =9in^3 \end{gathered}[/tex]Final Answer:
The volume of the prism is
[tex]9in^3[/tex]