Answer:
The volume of the pyramid is [tex]16\ cm^{3}[/tex]
Step-by-step explanation:
we know that
The volume of a right pyramid is equal to
[tex]V=\frac{1}{3}Bh[/tex]
where
B is the area of the base of pyramid
h is the height of the pyramid
Find the area of the square base B
The area of the square is equal to
[tex]B=b^{2}[/tex]
we have
[tex]b=4\ cm[/tex]
substitute
[tex]B=4^{2}=16\ cm^{2}[/tex]
Find the volume of the pyramid
we have
[tex]B=16\ cm^{2}[/tex]
[tex]h=3\ cm[/tex]
substitute
[tex]V=\frac{1}{3}(16)(3)=16\ cm^{3}[/tex]
