Respuesta :

Answer:

The volume of the prism is of 462 cubic inches.

Step-by-step explanation:

Volume of a triangular prism:

The volume of a triangular prism is given by:

[tex]V = A_b*h[/tex]

In which [tex]A_b[/tex] is the area of the base and h is the height of the prism.

A prism has a triangular base whose area is 42 square inches.

This means that [tex]A_b = 42[/tex]

Height of 11 inches.

This means that [tex]h = 11[/tex]

Which of the following is the volume of the prism?

[tex]V = A_b*h = 42*11 = 462[/tex]

Height in inches, so the volume of the prism is of 462 cubic inches.