The volume of the composed figure can be determined as,
[tex]\begin{gathered} V=(3\text{ in}\times2\text{ in}\times3\text{ in)+(2 in}\times4\text{ in}\times3\text{ in)+(4 in}\times2\text{ in}\times3\text{ in)} \\ V=18in^3+24in^3+24in^3 \\ V=66in^3 \end{gathered}[/tex]Thus, the required volume is 66 cubic inch.
