Compute the volume of fill between station 5+00 (Area = 250 ft2) and 6+00 (Area= 500 ft2). a. 375 CY b. 1388.89 CY c. 750 CY d. 500 CY

The volume of fill between two stations can be calculated using the formula for the volume of a trapezoid, which is the average of the areas of the two bases times the height. In this case, the height is the distance between the two stations, which is 100 feet (6+00 - 5+00 = 1+00 = 100 feet).

Here's the step-by-step calculation:

1. Calculate the average area of the two stations: (Area1 + Area2) / 2 = (250 ft^2 + 500 ft^2) / 2 = 375 ft^2.

2. Multiply the average area by the height to get the volume: Average Area * Height = 375 ft^2 * 100 ft = 37500 ft^3.

3. Convert cubic feet to cubic yards since the options are given in cubic yards. There are 27 cubic feet in a cubic yard, so divide the volume in cubic feet by 27 to get the volume in cubic yards: 37500 ft^3 / 27 = 1388.89 CY.

So, the volume of fill between station 5+00 and 6+00 is 1388.89 cubic yards. The correct answer is (b) 1388.89 CY.