Respuesta :

Answer:

The volume of the figure is [tex]8\ ft^{3}[/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

Find the area of the triangular base B

[tex]B=\frac{1}{2}(3)(4)=6\ ft^{2}[/tex]

we have

[tex]H=4\ ft[/tex]

substitute the values

[tex]V=\frac{1}{3}(6)(4)=8\ ft^{3}[/tex]