The volume of the triangular prism have is equal to 2,511.5 cubic yards that is option a). 2,511.5 yd³.
How to calculate for the volume of the triangular prism.
The volume of a prism is derived by multiplying the area of its base by the height.
We use Pythagoras rule to evaluate for the height of the prism as follows:
height of prism = √(10² - 5²)
height of prism = = √75yd
base area of prism = 29yd × 10yd
base area of prism = 290yd²
volume of prism = Area of base × height
volume of the prism = √75yd × 290yd²
volume of the prism = 2,511.47yd³
Therefore, the volume of the triangular prism is equal to 2,511.5yd³ approximately to the nearest tenth.