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 volume of a triangular prism can be calculated by multiplying the area of the base (which is a triangle) by the height of the prism.
Given that the base of the prism is a triangle, we need to find the area of the triangle first. If the base measures 9 meters in length and 10 meters in height, the area of the triangle would be:
Area = 1/2 * base * height
Area = 1/2 * 9 * 10
Area = 45 square meters
Now, if the height of the triangular prism is 5 meters, we can calculate the volume of the prism by:
Volume = base area * height
Volume = 45 * 5
Volume = 225 cubic meters
Therefore, the volume of the triangular prism is 225 cubic meters. None of the options match this value exactly, so there appears to be a mistake in the provided options.