Respuesta :

Answer:

4.5 cubic ft.

Step-by-step explanation:

From the given figure is clear that the base of the triangular prism is a right angle.

Area of a right angle is

[tex]Area=\dfrac{1}{2}\times base\times height[/tex]

We know that,

12 inch = 1 ft

18 inch = 1.5 ft

So, area of triangular base is

[tex]A=\dfrac{1}{2}\times 1.5\times 2=1.5[/tex]

Volume of triangular prism is

[tex]V=A\times h[/tex]

where, A is base area of h is height of the prism.

[tex]V=1.5\times 3[/tex]

[tex]V=4.5[/tex]

Therefore, the volume of the triangular prism is 4.5 cubic ft.