Answer:
The height of the prism is [tex]7.5\ ft[/tex]
Step-by-step explanation:
we know that
The volume of the prism is equal to
[tex]V=BH[/tex]
where
B is the area of the base of prism
H is the height of the prism
Find the area of the base B
[tex]B=(5)(8)=40\ ft^{2}[/tex]
we have
[tex]V=300\ ft^{3}[/tex]
substitute in the formula and solve for H
[tex]300=40(H)[/tex]
[tex]H=300/40[/tex]
[tex]H=7.5\ ft[/tex]