Question

A prism is completely filled with 72 cubes that have edge lengths of 1/2 in.What is the volume of the prism?Enter your answer in the box. in³

Answer 1

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.

Step-by-step explanation:

The volume of the each cube is

`\begin{gathered} =((1)/(2))^3 \\ \\ =(1)/(8)in^3 \end{gathered}`

So the volume of the complete prism is

`\begin{gathered} =72*(1)/(8) \\ \\ =9in^3 \end{gathered}`

Final Answer:

The volume of the prism is

`9in^3`