Answer:
72 cubic yards
Step-by-step explanation:
The volume of a prism is given by ...
V = Bh
where B is the area of the base, and h is the distance between bases.
Here, the base is a triangle, so its area is given by ...
A = 1/2bh
where b is the base of the triangle, and h is the height perpendicular to the base.
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Using these formulas with the dimensions given, we have ...
B = 1/2(8 yd)(3 yd) = 12 yd²
V = (12 yd²)(6 yd) = 72 yd³
The volume of the triangular prism is 72 cubic yards.
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<em>Additional comment</em>
Effectively, the volume of a triangular prism is half the volume of a rectangular prism with the same length, width, and height.
