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Created: 2024/12/25 09:51
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# The problem

A 1 km road is to be constructed in existing ground level having reduced levels 54.1, 53.8, 53.5, 53.5, 54.3, 54.6, 54.6, 54.9, 54.5, 54.7 and 54.3 meters at 100 m intervals. A required reduced level at station 1 is 55 meter and the downward gradient is 1 in 1000. The width of the road at formation level is 8 meter. Slopes to be maintained at cutting and filling are 1:2 (V: H) and 1:3 (V: H) respectively. The cost per cubic meter of cutting and filling is 69 BDT and 444 BDT respectively. Calculate the volume of Earthwork and estimated cost.

| Method              | Volume of cutting (m^3) | Volume of filling (m^3) | Cost of cutting (BDT) | Cost of filling (BDT) | Total cost (BDT) |
| ------------------- | ----------------------- | ----------------------- | --------------------- | --------------------- | ---------------- |
| Mid-section formula | 1688.13                 | 4824.56                 | 116,481               | 2,142,106             | 2,258,587        |
| Trapezoidal formula | 1710.25                 | 4897.12                 | 118,008               | 2,174.323             | 2,292,331        |
| Prismoidal formula  | 1695.50                 | 4848.75                 | 116,990               | 2,152,845             | 2,269,835        |