Final answer:
To find the length of the triangular prism, we can use the formula for the volume of a prism. The formula is volume = base area x height. In this case, the base of the triangular prism is a triangle with a base of 20 yards and a height of 10.1 yards.
Step-by-step explanation:
To find the length of the triangular prism, we can use the formula for the volume of a prism. The formula is volume = base area x height. In this case, the base of the triangular prism is a triangle with a base of 20 yards and a height of 10.1 yards. To find the area of the triangle, we use the formula for the area of a triangle, which is 1/2 x base x height. Plugging in the values, we have area = 1/2 x 20 yards x 10.1 yards = 101 square yards.
Now we can solve for the length of the prism. The formula for volume is volume = base area x height. Plugging in the values, we have 1,767.5 cubic yards = 101 square yards x length. Solving for length, we divide both sides by 101 square yards to get length = 1,767.5 cubic yards / 101 square yards = 17.48 yards.