Answer:
The height of the pyramid is [tex]6\ cm[/tex]
Step-by-step explanation:
we know that
The volume of the pyramid is equal to
[tex]V=\frac{1}{3}Bh[/tex]
where B is the area of the base of the pyramid
h is the height of the pyramid
we have
[tex]V=12\ cm^{3}[/tex]
[tex]B=(3)(2)=6\ cm^{2}[/tex] ----> the area of the base is the area of a rectangle
substitute the values in the formula and solve for h
[tex]12=\frac{1}{3}(6)h[/tex]
[tex]h=12/2=6\ cm[/tex]