Answer:
The height of the triangular prism is [tex]26\ mm[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
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
Find the area of the base B
[tex]B=\frac{1}{2}(7)(18)=63\ mm^{2}[/tex]
we have
[tex]V=1,638\ mm^{3}[/tex]
[tex]h=x\ mm[/tex]
substitute and solve for x
[tex]1,638=(63)x[/tex]
[tex]x=1,638/(63)=26\ mm[/tex]
