Final answer:
To find the area of a triangular base of a right triangular prism with a volume of 96 cm³, we need the height of the prism. Without the height, it is impossible to calculate the exact base area.
Step-by-step explanation:
To determine the area of one of the triangular bases of a right triangular prism, we can use the formula for the volume of a prism, which is Volume = base area × height. Given that the volume of the prism is 96 cm³ and the height (or length) of the prism is not provided, we can rearrange the formula to solve for the base area. However, without the height of the prism, we cannot determine the exact area of the triangular base.
If we had the height of the prism, we could find the base area by dividing the volume by the height of the prism:
Base Area = Volume / Height
Without knowledge of the height, we cannot proceed with the calculation.