Answer:
The volume of the pyramid is [tex]1,260\ cm^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the 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
step 1
Find the area of the base B
[tex]B=\frac{1}{2}bh[/tex]
we have
[tex]b=14\ cm[/tex]
[tex]h=18\ cm[/tex]
substitute
[tex]B=\frac{1}{2}(14)(18)=126\ cm^{2}[/tex]
step 2
Find the volume
we have
[tex]B=126\ cm^{2}[/tex]
[tex]H=30\ cm[/tex]
substitute
[tex]V=\frac{1}{3}BH[/tex]
[tex]V=\frac{1}{3}(126)(30)=1,260\ cm^{3}[/tex]
