Answer:
The height of the pyramid is [tex]1.875\ cm[/tex]
Step-by-step explanation:
we know that
The volume of the trapezoid pyramid is equal to
[tex]V=Bh[/tex]
where
B is the area of the trapezoid base
h is the height of the pyramid
we have
[tex]B=128\ cm^{2}[/tex]
[tex]V=240\ cm^{3}[/tex]
substitute and solve for h
[tex]240=(128)h[/tex]
[tex]h=240/(128)=1.875\ cm[/tex]