Find the volume of the triangular prism above. (2 points) Responses 591.5 cubic inches 591.5 cubic inches 1,638 cubic inches 1,638 cubic inches 819 cubic inches 819 cubic inches 3,276 cubic inches
To find the volume of a triangular prism, you multiply the area of the base (triangle) by the height of the prism.
The base of the prism is a triangle with a base of 12 inches and a height of 17 inches. The area of the base triangle can be calculated as:
Area = 0.5 * base * height
Area = 0.5 * 12 * 17
Area = 102 square inches
Now, multiply the area of the base by the height of the prism (which is 25 inches):
Volume = Area of base * Height
Volume = 102 * 25
Volume = 2550 cubic inches
Therefore, the volume of the triangular prism is 2550 cubic inches. The closest option to this is 2,550 cubic inches.