Final answer:
To calculate the volumes of cut and fill, you would use the end area method and adjust for material shrinkage. However, this calculation cannot be completed without specific end area values, which are not provided in the question.
Step-by-step explanation:
To calculate the volumes of cut and fill in a construction project, engineers often use the end area method. The end areas of cut and fill at the specified stations would be multiplied by the distance between the stations to approximate the volumes. However, the question lacks the specific end area values needed for calculation. Moreover, materials often shrink or swell when moved, and this question mentions a shrinkage factor of 15%, which must be taken into account to adjust the volume accordingly.
Without the specific end area values, we cannot proceed with the calculations. Generally, if end area values were provided, we would use the following steps:
- Calculate the volume without shrinkage by averaging the end areas and multiplying by the distance between the stations.
- Adjust the volume calculation by the shrinkage factor to find the true volume of material needed. In the case of a 15% shrink, we would multiply the initial volume by 0.85 (100% - 15% shrinkage = 85% or 0.85).
This process results in an adjusted volume that accounts for the 15% shrinkage of material. Since the exact areas are not mentioned in the question, an accurate calculation cannot be performed here.