Find the volume of the triangular prism.
A triangular prism is shown. The front triangular face of the prism has a base measure of 12 feet and perpendicular height of 2 feet. The length of the prism between the triangular faces is 18 feet.
(1 point)
Responses
864 ft3
864 ft 3
432 ft3
432 ft 3
216 ft3
216 ft 3
492 ft3
To find the volume of a triangular prism, you need to multiply the area of the base (the front triangular face) by the length of the prism.
The area of the front triangular face can be calculated using the formula for the area of a triangle: 1/2 * base * height. So, in this case, the area of the front triangular face is 1/2 * 12 * 2 = 12 square feet.
Now, to find the volume, multiply the area of the base by the length of the prism: 12 * 18 = 216 cubic feet.
Therefore, the volume of the triangular prism is 216 cubic feet.
So, the correct answer is: 216 ft3