Determine the volume of the triangular prism.
(1 point)
Responses
24.5 cubic meters
24.5 cubic meters
63.75 cubic meters
63.75 cubic meters
127.5 cubic meters
127.5 cubic meters
255 cubic meters
The correct answer is 127.5 cubic meters.
To calculate the volume of a triangular prism, you need to multiply the base area of the triangular face by the height of the prism.
The base of the triangular face is a triangle with a base of 7.5 meters and a height of 6 meters.
Base area = 1/2 * base * height = 1/2 * 7.5 * 6 = 22.5 square meters.
Now, multiply the base area by the height of the prism which is 5 meters.
Volume = base area * height = 22.5 * 5 = 112.5 cubic meters.
Therefore, the volume of the triangular prism is 112.5 cubic meters.