Answer:
The volume of the shipping box is [tex]V=27\ in^3[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
The volume of the triangular prism is equal to
[tex]V=BH[/tex]
where
B is the area of the triangular base
H is the height of the prism
In this problem we have
[tex]H=9\ in[/tex]
Find the area of the triangular base B
[tex]B=\frac{1}{2}bh[/tex]
we have
[tex]b=3\ in\\h=2\ in[/tex]
substitute
[tex]B=\frac{1}{2}(3)(2)=3\ in^2[/tex]
Find the volume of the triangular prism
[tex]V=BH[/tex]
we have
[tex]B=3\ in^2[/tex]
[tex]H=9\ in[/tex]
substitute
[tex]V=(3)(9)=27\ in^3[/tex]
