Determine the volume of the triangular prism.

Question

h = 5m
length 8.5m
width 3 m

(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
255 cubic meters

Answer 1

The correct answer is 63.75 cubic meters.

To find the volume of a triangular prism, you can use the formula V = (1/2) * base * height * length.

In this case, the base is the triangle with dimensions of 8.5m (length) and 3m (width), so the area of the base triangle is (1/2) * 8.5m * 3m = 12.75 square meters.

Then, multiply the area of the base by the height of the prism (5m) to get the volume: 12.75 square meters * 5m = 63.75 cubic meters.

Therefore, the volume of the triangular prism is 63.75 cubic meters.