Answer:
The height of the pyramid is [tex]50\ in[/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 base
H is the height of the pyramid
we have
[tex]V=1,800\ in^{3}[/tex]
The area of the base B is equal to
[tex]B=\frac{1}{2}(12)(18)=108\ in^{2}[/tex]
substitute and solve for H
[tex]1,800=\frac{1}{3}(108)H[/tex]
[tex]5,400=(108)H[/tex]
[tex]H=5,400/(108)=50\ in[/tex]
