“v =“ me find the answer *pic attached : )

The volume of the prism = 27√3/2 inches³ (≅ 23.38 inches³)

Step-by-step explanation:

* Lets revise the volume of the triangular prism

- The prism has 5 faces

- Two triangular bases

- Three rectangular side faces

- The rule of its volume = Area of its base × its height

* Now lets solve the problem

- The bases of the prism are equilateral triangles of side 3 inches

- The side faces of the prism are rectangles of dimensions 3 and 6 inches

∵ Its volume = Area of the its base × its height

- The bases are equilateral triangles

∵ The area of the equilateral triangle = √3/4 s² , where s is the

   length of its side

∵ The length of the side = 3 inches

∴ The area of the base = √3/4 (3)² = 9√3/4 inches²

∵ Its height = 6 inches

∴ Its volume = 9√3/4 × 6 = 27√3/2  inches³

* The volume of the prism = 27√3/2 inches³ (≅ 23.38 inches³)