In a railway cutting, the side slopes are 1.5:1 and the surface of the ground has a uniform side slope of 1 in 10. The width at the formation level is 4.0 m. Determine the volume of excavation between two points 50 m apart on the centerline with the dept of cutting at the first point being 6.0 m and at the second point being 8.0 m, while at a point halfway between them the depth is 6.5 m. If the points at which the depth of cutting is measured lie on a curve of radius 300 m, what will be the correction to be applied?

A layer of fine sand exists over a stratum of impervious rock. The sand layer is 6.25m thick. The site is flooded and the water surface is 1.25m above the surface of the sand. It is proposed to excavate a very wide ditch through the site and to remove sand to a depth of 2.5m below the existing surface of the sand. One side of the excavation is to be supported by sheet piling driven to a depth of 4.4m below the existing surface of the sand. Draw a flow net and determine the seepage in m³/min per m length for the sand with a permeability of 0.18m/sec.

Soil of a burrow pit has a dry density of 17 kN / (m^3). How many m3 soil will be required to construct an embankment having a volume of 100 m^3 with dry density of 16 kN/m3?