Respuesta :

Answer:

Volume of the triangular prism = 42 square in.

Step-by-step explanation:

Volume of a triangular prism = Area of the triangular base × Height

Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex] [Since, given triangle is a right triangle]

                                             = [tex]\frac{1}{2}(3)(4)[/tex]

                                             = 6 square in.

Height of the prism = 7 in

Therefore, volume of the triangular prism = 6 × 7

                                                                     = 42 square inch