Respuesta :

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]