Answer:
[tex]V=1,185.6\ in^3[/tex]
Step-by-step explanation:
we know that
The volume of the triangular prism is equal to
[tex]V=BL[/tex]
where
B is the area of the triangular face
L is the length of the prism
we have that
[tex]B=\frac{1}{2}(b)(h)[/tex]
substitute the given values
[tex]B=\frac{1}{2}(12)(10.4)=62.4\ in^2[/tex]
[tex]L=19\ in[/tex]
substitute in the formula of volume
[tex]V=62.4(19)=1,185.6\ in^3[/tex]
