Final answer:
The volume of the triangular prism is 1664 cm³.
Step-by-step explanation:
The volume of a triangular prism can be found by multiplying the area of the triangular base by the height of the prism. In this case, the base is a scalene triangle, which means all three sides are different lengths. To find the area of the triangular base, we can use the formula A = 1/2 × base × height. Plugging in the values, A = 1/2 × 13 cm × 16 cm = 104 cm². Now, we can find the volume using the formula V = A × height = 104 cm² × 16 cm = 1664 cm³.