A triangular prism has a height of 9 meters. The area of the triangular base measures 16 square meters. What is the volume of the triangular prism?

A. 15 cubic meters

B. 60 cubic meters

C. 72 cubic meters

D. 144 cubic meters

Answer: D. 144 cubic meters

Step-by-step explanation:

A triangular prism consists of 2 triangular faces (base) and 3 rectangular faces.

The formula for determining the volume of a triangular prism is expressed as

Volume = area of the triangular base * height of the prism

Area of triangular base = 1/2 base * height

From the information given,

Height of prism = 9 meters

Area of triangular base = 16 square meters

Volume of the triangular prism = 16 * 9 = 144 cubic meters

D. 144 cubic meters

Step-by-step explanation:

Volume of triangular prism (V) = Area of a triangle (A) * height of the prism (H)

That is,

V=AH

Where,

A=Area of a triangle

H=Height of the prism

Given,

A=1/2 * base*height=16 square meters

Height=9 meters

Therefore,

Volume of triangular prism=16 square meters*9 meters

=144 cubic meters