Answer:
The height of the triangular pyramid is [tex]27\ cm[/tex]
Step-by-step explanation:
we know that
The volume of a triangular pyramid is equal to
[tex]V=\frac{1}{3}BH[/tex]
where
B is the area of the triangular base
H is the height of the pyramid
Find the area of the base B
[tex]B=\frac{1}{2}(15)(4)=30\ cm^{2}[/tex]
we have
[tex]V=270\ cm^{3}[/tex]
substitute and solve for H
[tex]270=\frac{1}{3}(30)H[/tex]
[tex]270=10H[/tex]
[tex]H=270/10=27\ cm[/tex]
